diff --git a/compiler/fir/analysis-tests/testData/resolve/exhaustiveness/positive/exhaustiveWhenNothingFields.kt b/compiler/fir/analysis-tests/testData/resolve/exhaustiveness/positive/exhaustiveWhenNothingFields.kt
new file mode 100644
index 0000000000000..bcdfeed4f295a
--- /dev/null
+++ b/compiler/fir/analysis-tests/testData/resolve/exhaustiveness/positive/exhaustiveWhenNothingFields.kt
@@ -0,0 +1,21 @@
+// FIR_IDENTICAL
+// RUN_PIPELINE_TILL: BACKEND
+// ISSUE: KT-77979
+// WITH_STDLIB
+
+sealed interface Adt<A, B>
+data class A<A, B>(val x: B) : Adt<A, B>
+sealed interface BAdt<B, A> : Adt<A, B>
+data class B<A, B>(val x: B) : BAdt<A, B>
+data class C<A, B>(val x: A) : BAdt<A, B>
+
+fun example(a: Adt<Nothing, String>) {
+    when (a) {
+        is A -> {}
+        is C -> {}
+        // no need in case B
+    }
+}
+
+/* GENERATED_FIR_TAGS: classDeclaration, data, functionDeclaration, interfaceDeclaration, isExpression, nullableType,
+primaryConstructor, propertyDeclaration, sealed, smartcast, typeParameter, whenExpression, whenWithSubject */
diff --git a/compiler/fir/analysis-tests/testData/resolve/exhaustiveness/positive/exhaustiveWhenViolateUpperBounds.kt b/compiler/fir/analysis-tests/testData/resolve/exhaustiveness/positive/exhaustiveWhenViolateUpperBounds.kt
new file mode 100644
index 0000000000000..f974233fbd801
--- /dev/null
+++ b/compiler/fir/analysis-tests/testData/resolve/exhaustiveness/positive/exhaustiveWhenViolateUpperBounds.kt
@@ -0,0 +1,18 @@
+// FIR_IDENTICAL
+// RUN_PIPELINE_TILL: BACKEND
+// ISSUE: KT-77979
+// WITH_STDLIB
+
+sealed interface Adt<out A>
+data class A<A: Number>(val x: A) : Adt<A>
+data class B(val x: Unit) : Adt<Nothing>
+
+fun example(a: Adt<String>) {
+    when (a) {
+        is B -> {}
+        // no need in case A
+    }
+}
+
+/* GENERATED_FIR_TAGS: classDeclaration, data, functionDeclaration, interfaceDeclaration, isExpression, nullableType,
+out, primaryConstructor, propertyDeclaration, sealed, typeConstraint, typeParameter, whenExpression, whenWithSubject */
diff --git a/compiler/fir/checkers/src/org/jetbrains/kotlin/fir/analysis/checkers/FirUpperBoundViolatedHelpers.kt b/compiler/fir/checkers/src/org/jetbrains/kotlin/fir/analysis/checkers/FirUpperBoundViolatedHelpers.kt
index 5c2573ec98d5a..dafdc0f2df57c 100644
--- a/compiler/fir/checkers/src/org/jetbrains/kotlin/fir/analysis/checkers/FirUpperBoundViolatedHelpers.kt
+++ b/compiler/fir/checkers/src/org/jetbrains/kotlin/fir/analysis/checkers/FirUpperBoundViolatedHelpers.kt
@@ -186,6 +186,40 @@ fun checkUpperBoundViolated(
     }
 }
 
+fun checkUpperBoundViolatedNoReport(
+    typeParameters: List<FirTypeParameterSymbol>,
+    typeArguments: List<ConeTypeProjection>,
+    session: FirSession,
+): Boolean {
+    val substitution = typeParameters.zip(typeArguments).toMap()
+    val substitutor = FE10LikeConeSubstitutor(substitution, session)
+
+    val count = minOf(typeParameters.size, typeArguments.size)
+    val typeSystemContext = session.typeContext
+
+    for (index in 0 until count) {
+        val argument = typeArguments[index]
+        val argumentType = argument.type
+        if (argumentType != null) {
+            if (argumentType.typeArguments.isEmpty() && argumentType !is ConeTypeParameterType) {
+                val intersection =
+                    typeSystemContext.intersectTypes(typeParameters[index].resolvedBounds.map { it.coneType })
+                val upperBound = substitutor.substituteOrSelf(intersection)
+                if (!AbstractTypeChecker.isSubtypeOf(
+                        typeSystemContext,
+                        argumentType,
+                        upperBound,
+                        stubTypesEqualToAnything = true
+                    )
+                ) {
+                    return true
+                }
+            }
+        }
+    }
+    return false
+}
+
 /**
  * @returns true if the diagnostic was reported
  */
diff --git a/compiler/fir/providers/src/org/jetbrains/kotlin/fir/types/TypeUnification.kt b/compiler/fir/providers/src/org/jetbrains/kotlin/fir/types/TypeUnification.kt
index cf32d9c0f3842..d77797bf71d88 100644
--- a/compiler/fir/providers/src/org/jetbrains/kotlin/fir/types/TypeUnification.kt
+++ b/compiler/fir/providers/src/org/jetbrains/kotlin/fir/types/TypeUnification.kt
@@ -23,8 +23,8 @@ fun FirSession.doUnify(
     targetTypeParameters: Set<FirTypeParameterSymbol>,
     result: MutableMap<FirTypeParameterSymbol, ConeTypeProjection>,
 ): Boolean {
-    val originalType = originalTypeProjection.type?.lowerBoundIfFlexible()?.fullyExpandedType(this)
-    val typeWithParameters = typeWithParametersProjection.type?.lowerBoundIfFlexible()?.fullyExpandedType(this)
+    val originalType = originalTypeProjection.type?.lowerBoundIfFlexible()?.fullyExpandedType()
+    val typeWithParameters = typeWithParametersProjection.type?.lowerBoundIfFlexible()?.fullyExpandedType()
 
     if (typeWithParameters is ConeErrorType) {
         return true // Return true to avoid loosing `result` substitution
diff --git a/compiler/fir/resolve/build.gradle.kts b/compiler/fir/resolve/build.gradle.kts
index eff38e289fe3b..c4caaf7e516b7 100644
--- a/compiler/fir/resolve/build.gradle.kts
+++ b/compiler/fir/resolve/build.gradle.kts
@@ -6,6 +6,7 @@ plugins {
 dependencies {
     api(project(":compiler:fir:providers"))
     api(project(":compiler:fir:semantics"))
+    api(project(":compiler:fir:checkers"))
     implementation(project(":core:util.runtime"))
 
     compileOnly(libs.guava)
diff --git a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/FirWhenExhaustivenessComputer.kt b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/FirWhenExhaustivenessComputer.kt
index a249c225e7b2c..d62d0fc78d912 100644
--- a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/FirWhenExhaustivenessComputer.kt
+++ b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/FirWhenExhaustivenessComputer.kt
@@ -11,8 +11,10 @@ import org.jetbrains.kotlin.descriptors.ClassKind
 import org.jetbrains.kotlin.descriptors.Modality
 import org.jetbrains.kotlin.diagnostics.WhenMissingCase
 import org.jetbrains.kotlin.fir.*
+import org.jetbrains.kotlin.fir.analysis.checkers.checkUpperBoundViolatedNoReport
 import org.jetbrains.kotlin.fir.declarations.FirEnumEntry
 import org.jetbrains.kotlin.fir.declarations.FirFile
+import org.jetbrains.kotlin.fir.declarations.declaredProperties
 import org.jetbrains.kotlin.fir.declarations.getSealedClassInheritors
 import org.jetbrains.kotlin.fir.declarations.utils.isEnumClass
 import org.jetbrains.kotlin.fir.declarations.utils.isExpect
@@ -21,7 +23,9 @@ import org.jetbrains.kotlin.fir.expressions.*
 import org.jetbrains.kotlin.fir.expressions.impl.FirElseIfTrueCondition
 import org.jetbrains.kotlin.fir.resolve.*
 import org.jetbrains.kotlin.fir.resolve.providers.symbolProvider
+import org.jetbrains.kotlin.fir.resolve.substitution.substitutorByMap
 import org.jetbrains.kotlin.fir.resolve.transformers.WhenOnSealedClassExhaustivenessChecker.ConditionChecker.processBranch
+import org.jetbrains.kotlin.fir.resolve.transformers.body.resolve.computeRepresentativeTypeForBareType
 import org.jetbrains.kotlin.fir.symbols.FirBasedSymbol
 import org.jetbrains.kotlin.fir.symbols.impl.FirClassSymbol
 import org.jetbrains.kotlin.fir.symbols.impl.FirRegularClassSymbol
@@ -447,12 +451,40 @@ private object WhenOnSealedClassExhaustivenessChecker : WhenExhaustivenessChecke
         }
 
         for (notCheckedRegularClasses in notCheckedRegularClasses) {
-            destination += WhenMissingCase.IsTypeCheckIsMissing(
-                notCheckedRegularClasses.classId,
-                notCheckedRegularClasses.fir.classKind.isSingleton,
-                notCheckedRegularClasses.ownTypeParameterSymbols.size
-            )
+            if (!isUninhabited(notCheckedRegularClasses, subjectType, session)) {
+                destination += WhenMissingCase.IsTypeCheckIsMissing(
+                    notCheckedRegularClasses.classId,
+                    notCheckedRegularClasses.fir.classKind.isSingleton,
+                    notCheckedRegularClasses.ownTypeParameterSymbols.size
+                )
+            }
+        }
+    }
+
+    private fun isUninhabited(
+        classSymbol: FirClassSymbol<*>,
+        subjectType: ConeKotlinType,
+        session: FirSession,
+    ): Boolean {
+        val classType =
+            session.computeRepresentativeTypeForBareType(classSymbol.defaultType(), subjectType) ?: return false
+        val boundsViolated =
+            checkUpperBoundViolatedNoReport(classSymbol.typeParameterSymbols, classType.typeArguments.toList(), session)
+        val containsNothing: Boolean by lazy {
+            val typeMapping =
+                classSymbol.typeParameterSymbols.zip(classType.typeArguments).mapNotNull { (parameter, arg) ->
+                    when (arg) {
+                        is ConeKotlinType -> parameter to arg
+                        is ConeKotlinTypeProjectionOut -> parameter to arg.type
+                        else -> null
+                    }
+                }.toMap()
+            val substitutor = substitutorByMap(typeMapping, session)
+            val typesOfProperties = classSymbol.declaredProperties(session)
+                .map { substitutor.substituteOrSelf(it.resolvedReturnType) }
+            typesOfProperties.any { it.isNothing }
         }
+        return boundsViolated || containsNothing
     }
 
     private fun inferVariantsFromSubjectSmartCast(subject: FirExpression, data: Info) {
diff --git a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/body/resolve/bareTypes.kt b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/body/resolve/bareTypes.kt
index 7a0c1fe07627f..36ac02b20f6bb 100644
--- a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/body/resolve/bareTypes.kt
+++ b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/transformers/body/resolve/bareTypes.kt
@@ -5,6 +5,7 @@
 
 package org.jetbrains.kotlin.fir.resolve.transformers.body.resolve
 
+import org.jetbrains.kotlin.fir.SessionHolder
 import org.jetbrains.kotlin.fir.declarations.FirResolvePhase
 import org.jetbrains.kotlin.fir.declarations.FirTypeAlias
 import org.jetbrains.kotlin.fir.declarations.FirTypeParameter
@@ -16,7 +17,7 @@ import org.jetbrains.kotlin.fir.types.*
 import org.jetbrains.kotlin.types.AbstractTypeChecker
 import org.jetbrains.kotlin.types.TypeApproximatorConfiguration
 
-fun BodyResolveComponents.computeRepresentativeTypeForBareType(type: ConeClassLikeType, originalType: ConeKotlinType): ConeKotlinType? {
+fun SessionHolder.computeRepresentativeTypeForBareType(type: ConeClassLikeType, originalType: ConeKotlinType): ConeKotlinType? {
     originalType.lowerBoundIfFlexible().fullyExpandedType().let {
         if (it !== originalType) return computeRepresentativeTypeForBareType(type, it)
     }
diff --git a/compiler/fir/tree/src/org/jetbrains/kotlin/fir/FirSession.kt b/compiler/fir/tree/src/org/jetbrains/kotlin/fir/FirSession.kt
index af5a9928b63cd..d8a8e18f67487 100644
--- a/compiler/fir/tree/src/org/jetbrains/kotlin/fir/FirSession.kt
+++ b/compiler/fir/tree/src/org/jetbrains/kotlin/fir/FirSession.kt
@@ -15,7 +15,7 @@ import kotlin.reflect.KClass
 
 abstract class FirSession @PrivateSessionConstructor constructor(
     val kind: Kind
-) : ComponentArrayOwner<FirSessionComponent, FirSessionComponent>() {
+) : ComponentArrayOwner<FirSessionComponent, FirSessionComponent>(), SessionHolder {
     companion object : ConeTypeRegistry<FirSessionComponent, FirSessionComponent>() {
         inline fun <reified T : FirSessionComponent> sessionComponentAccessor(): ArrayMapAccessor<FirSessionComponent, FirSessionComponent, T> {
             return generateAccessor(T::class)
@@ -39,6 +39,9 @@ abstract class FirSession @PrivateSessionConstructor constructor(
 
     open val builtinTypes: BuiltinTypes = BuiltinTypes()
 
+    override val session: FirSession
+        get() = this
+
     final override val typeRegistry: TypeRegistry<FirSessionComponent, FirSessionComponent> = Companion
 
     @SessionConfiguration