diff --git a/clang/lib/CodeGen/CodeGenModule.cpp b/clang/lib/CodeGen/CodeGenModule.cpp
index 834b1c067d84c..6734f9b20dcab 100644
--- a/clang/lib/CodeGen/CodeGenModule.cpp
+++ b/clang/lib/CodeGen/CodeGenModule.cpp
@@ -2335,7 +2335,40 @@ llvm::ConstantInt *CodeGenModule::CreateCrossDsoCfiTypeId(llvm::Metadata *MD) {
   return llvm::ConstantInt::get(Int64Ty, llvm::MD5Hash(MDS->getString()));
 }
 
+// Generalize pointer types to a void pointer with the qualifiers of the
+// originally pointed-to type, e.g. 'const char *' and 'char * const *'
+// generalize to 'const void *' while 'char *' and 'const char **' generalize to
+// 'void *'.
+static QualType GeneralizeType(ASTContext &Ctx, QualType Ty) {
+  if (!Ty->isPointerType())
+    return Ty;
+
+  return Ctx.getPointerType(
+      QualType(Ctx.VoidTy)
+          .withCVRQualifiers(Ty->getPointeeType().getCVRQualifiers()));
+}
+
+// Apply type generalization to a FunctionType's return and argument types
+static QualType GeneralizeFunctionType(ASTContext &Ctx, QualType Ty) {
+  if (auto *FnType = Ty->getAs<FunctionProtoType>()) {
+    SmallVector<QualType, 8> GeneralizedParams;
+    for (auto &Param : FnType->param_types())
+      GeneralizedParams.push_back(GeneralizeType(Ctx, Param));
+
+    return Ctx.getFunctionType(GeneralizeType(Ctx, FnType->getReturnType()),
+                               GeneralizedParams, FnType->getExtProtoInfo());
+  }
+
+  if (auto *FnType = Ty->getAs<FunctionNoProtoType>())
+    return Ctx.getFunctionNoProtoType(
+        GeneralizeType(Ctx, FnType->getReturnType()));
+
+  llvm_unreachable("Encountered unknown FunctionType");
+}
+
 llvm::ConstantInt *CodeGenModule::CreateKCFITypeId(QualType T) {
+  if (getCodeGenOpts().SanitizeCfiICallGeneralizePointers)
+    T = GeneralizeFunctionType(getContext(), T);
   if (auto *FnType = T->getAs<FunctionProtoType>())
     T = getContext().getFunctionType(
         FnType->getReturnType(), FnType->getParamTypes(),
@@ -2348,6 +2381,8 @@ llvm::ConstantInt *CodeGenModule::CreateKCFITypeId(QualType T) {
 
   if (getCodeGenOpts().SanitizeCfiICallNormalizeIntegers)
     Out << ".normalized";
+  if (getCodeGenOpts().SanitizeCfiICallGeneralizePointers)
+    Out << ".generalized";
 
   return llvm::ConstantInt::get(Int32Ty,
                                 static_cast<uint32_t>(llvm::xxHash64(OutName)));
@@ -7880,38 +7915,6 @@ CodeGenModule::CreateMetadataIdentifierForVirtualMemPtrType(QualType T) {
   return CreateMetadataIdentifierImpl(T, VirtualMetadataIdMap, ".virtual");
 }
 
-// Generalize pointer types to a void pointer with the qualifiers of the
-// originally pointed-to type, e.g. 'const char *' and 'char * const *'
-// generalize to 'const void *' while 'char *' and 'const char **' generalize to
-// 'void *'.
-static QualType GeneralizeType(ASTContext &Ctx, QualType Ty) {
-  if (!Ty->isPointerType())
-    return Ty;
-
-  return Ctx.getPointerType(
-      QualType(Ctx.VoidTy).withCVRQualifiers(
-          Ty->getPointeeType().getCVRQualifiers()));
-}
-
-// Apply type generalization to a FunctionType's return and argument types
-static QualType GeneralizeFunctionType(ASTContext &Ctx, QualType Ty) {
-  if (auto *FnType = Ty->getAs<FunctionProtoType>()) {
-    SmallVector<QualType, 8> GeneralizedParams;
-    for (auto &Param : FnType->param_types())
-      GeneralizedParams.push_back(GeneralizeType(Ctx, Param));
-
-    return Ctx.getFunctionType(
-        GeneralizeType(Ctx, FnType->getReturnType()),
-        GeneralizedParams, FnType->getExtProtoInfo());
-  }
-
-  if (auto *FnType = Ty->getAs<FunctionNoProtoType>())
-    return Ctx.getFunctionNoProtoType(
-        GeneralizeType(Ctx, FnType->getReturnType()));
-
-  llvm_unreachable("Encountered unknown FunctionType");
-}
-
 llvm::Metadata *CodeGenModule::CreateMetadataIdentifierGeneralized(QualType T) {
   return CreateMetadataIdentifierImpl(GeneralizeFunctionType(getContext(), T),
                                       GeneralizedMetadataIdMap, ".generalized");
diff --git a/clang/lib/Driver/SanitizerArgs.cpp b/clang/lib/Driver/SanitizerArgs.cpp
index 98793a5bb9979..54f0e63b98070 100644
--- a/clang/lib/Driver/SanitizerArgs.cpp
+++ b/clang/lib/Driver/SanitizerArgs.cpp
@@ -851,6 +851,8 @@ SanitizerArgs::SanitizerArgs(const ToolChain &TC,
   }
 
   if (AllAddedKinds & SanitizerKind::KCFI) {
+    CfiICallGeneralizePointers =
+        Args.hasArg(options::OPT_fsanitize_cfi_icall_generalize_pointers);
     CfiICallNormalizeIntegers =
         Args.hasArg(options::OPT_fsanitize_cfi_icall_normalize_integers);
 
diff --git a/clang/test/CodeGen/kcfi-generalize.c b/clang/test/CodeGen/kcfi-generalize.c
new file mode 100644
index 0000000000000..4e32f4f35057c
--- /dev/null
+++ b/clang/test/CodeGen/kcfi-generalize.c
@@ -0,0 +1,33 @@
+// RUN: %clang_cc1 -triple x86_64-unknown-linux -fsanitize=kcfi -fsanitize-trap=kcfi -emit-llvm -o - %s | FileCheck --check-prefix=CHECK --check-prefix=UNGENERALIZED %s
+// RUN: %clang_cc1 -triple x86_64-unknown-linux -fsanitize=kcfi -fsanitize-trap=kcfi -fsanitize-cfi-icall-generalize-pointers -emit-llvm -o - %s | FileCheck --check-prefix=CHECK --check-prefix=GENERALIZED %s
+
+// Test that const char* is generalized to const ptr and that char** is
+// generalized to ptr
+
+// CHECK: define{{.*}} ptr @f({{.*}} !kcfi_type [[TYPE:![0-9]+]]
+int** f(const char *a, const char **b) {
+  return (int**)0;
+}
+
+// GENERALIZED: define{{.*}} ptr @f2({{.*}} !kcfi_type [[TYPE]]
+// UNGENERALIZED: define{{.*}} ptr @f2({{.*}} !kcfi_type [[TYPE2:![0-9]+]]
+int** f2(const int *a, const int **b) {
+  return (int**)0;
+}
+
+// CHECK: define{{.*}} ptr @f3({{.*}} !kcfi_type [[TYPE3:![0-9]+]]
+int** f3(char *a, char **b) {
+  return (int**)0;
+}
+
+void g(int** (*fp)(const char *, const char **)) {
+  // UNGENERALIZED: call {{.*}} [ "kcfi"(i32 1296635908) ]
+  // GENERALIZED: call {{.*}} [ "kcfi"(i32 -49168686) ]
+  fp(0, 0);
+}
+
+// UNGENERALIZED: [[TYPE]] = !{i32 1296635908}
+// GENERALIZED: [[TYPE]] = !{i32 -49168686}
+
+// UNGENERALIZED: [[TYPE3]] = !{i32 874141567}
+// GENERALIZED: [[TYPE3]] = !{i32 954385378}
diff --git a/clang/test/Driver/fsanitize.c b/clang/test/Driver/fsanitize.c
index fbe1fd72c84c6..263301ad4466a 100644
--- a/clang/test/Driver/fsanitize.c
+++ b/clang/test/Driver/fsanitize.c
@@ -794,6 +794,11 @@
 // RUN: not %clang --target=x86_64-linux-gnu -fsanitize=cfi-icall -fsanitize-cfi-icall-generalize-pointers -fsanitize-cfi-cross-dso -fvisibility=hidden -flto -c %s -### 2>&1 | FileCheck %s --check-prefix=CHECK-CFI-GENERALIZE-AND-CROSS-DSO
 // CHECK-CFI-GENERALIZE-AND-CROSS-DSO: error: invalid argument '-fsanitize-cfi-cross-dso' not allowed with '-fsanitize-cfi-icall-generalize-pointers'
 
+// RUN: %clang --target=x86_64-linux-gnu -fsanitize=kcfi -fsanitize-cfi-icall-generalize-pointers -fvisibility=hidden -flto -c -resource-dir=%S/Inputs/resource_dir %s -### 2>&1 | FileCheck %s --check-prefix=CHECK-KCFI-GENERALIZE-POINTERS
+// RUN: %clang --target=x86_64-linux-gnu -fsanitize=kcfi -fvisibility=hidden -flto -c -resource-dir=%S/Inputs/resource_dir %s -### 2>&1 | FileCheck %s --check-prefix=CHECK-NO-KCFI-GENERALIZE-POINTERS
+// CHECK-KCFI-GENERALIZE-POINTERS: -fsanitize-cfi-icall-generalize-pointers
+// CHECK-NO-KCFI-GENERALIZE-POINTERS-NOT: -fsanitize-cfi-icall-generalize-pointers
+
 // RUN: %clang --target=x86_64-linux-gnu -fsanitize=cfi-icall -fsanitize-cfi-canonical-jump-tables -fvisibility=hidden -flto -c -resource-dir=%S/Inputs/resource_dir %s -### 2>&1 | FileCheck %s --check-prefix=CHECK-CFI-CANONICAL-JUMP-TABLES
 // RUN: %clang --target=x86_64-linux-gnu -fsanitize=cfi-icall -fno-sanitize-cfi-canonical-jump-tables -fvisibility=hidden -flto -c %s -resource-dir=%S/Inputs/resource_dir -### 2>&1 | FileCheck %s --check-prefix=CHECK-NO-CFI-CANONICAL-JUMP-TABLES
 // RUN: %clang --target=x86_64-linux-gnu -fsanitize=cfi-icall -fvisibility=hidden -flto -c -resource-dir=%S/Inputs/resource_dir %s -### 2>&1 | FileCheck %s --check-prefix=CHECK-CFI-CANONICAL-JUMP-TABLES