diff --git a/Sources/GRPCProtobufCodeGen/ProtobufCodeGenParser.swift b/Sources/GRPCProtobufCodeGen/ProtobufCodeGenParser.swift
index 69a48da..c4ca5b0 100644
--- a/Sources/GRPCProtobufCodeGen/ProtobufCodeGenParser.swift
+++ b/Sources/GRPCProtobufCodeGen/ProtobufCodeGenParser.swift
@@ -96,9 +96,23 @@ extension ProtobufCodeGenParser {
     file: FileDescriptor
   ) -> [Dependency] {
     var codeDependencies: [Dependency] = [
-      Dependency(module: "GRPCProtobuf", accessLevel: .internal),
-      Dependency(module: "SwiftProtobuf", accessLevel: self.accessLevel),
+      Dependency(module: "GRPCProtobuf", accessLevel: .internal)
     ]
+
+    // If any services in the file depend on well-known Protobuf types then also import
+    // SwiftProtobuf. Importing SwiftProtobuf unconditionally results in warnings in the generated
+    // code if access-levels are used on imports and no well-known types are used.
+    let usesAnyWellKnownTypesInServices = file.services.contains { service in
+      service.methods.contains { method in
+        let inputIsWellKnown = method.inputType.wellKnownType != nil
+        let outputIsWellKnown = method.outputType.wellKnownType != nil
+        return inputIsWellKnown || outputIsWellKnown
+      }
+    }
+    if usesAnyWellKnownTypesInServices {
+      codeDependencies.append(Dependency(module: "SwiftProtobuf", accessLevel: self.accessLevel))
+    }
+
     // Adding as dependencies the modules containing generated code or types for
     // '.proto' files imported in the '.proto' file we are parsing.
     codeDependencies.append(
diff --git a/Tests/GRPCProtobufCodeGenTests/Generated/wkt-service.pb b/Tests/GRPCProtobufCodeGenTests/Generated/wkt-service.pb
new file mode 100644
index 0000000..1edf846
Binary files /dev/null and b/Tests/GRPCProtobufCodeGenTests/Generated/wkt-service.pb differ
diff --git a/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGenParserTests.swift b/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGenParserTests.swift
index 60610f3..f86273b 100644
--- a/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGenParserTests.swift
+++ b/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGenParserTests.swift
@@ -61,8 +61,7 @@ struct ProtobufCodeGenParserTests {
     @Test("Dependencies")
     func dependencies() {
       let expected: [GRPCCodeGen.Dependency] = [
-        .init(module: "GRPCProtobuf", accessLevel: .internal),  // Always an internal import
-        .init(module: "SwiftProtobuf", accessLevel: .internal),
+        .init(module: "GRPCProtobuf", accessLevel: .internal)  // Always an internal import
       ]
       #expect(self.codeGen.dependencies == expected)
     }
@@ -174,8 +173,7 @@ struct ProtobufCodeGenParserTests {
     @Test("Dependencies")
     func dependencies() {
       let expected: [GRPCCodeGen.Dependency] = [
-        .init(module: "GRPCProtobuf", accessLevel: .internal),  // Always an internal import
-        .init(module: "SwiftProtobuf", accessLevel: .internal),
+        .init(module: "GRPCProtobuf", accessLevel: .internal)  // Always an internal import
       ]
       #expect(self.codeGen.dependencies == expected)
     }
@@ -237,4 +235,26 @@ struct ProtobufCodeGenParserTests {
       #expect(self.service.namespace.base == "")
     }
   }
+
+  @Suite("Service using 'well-known types' (wkt-service.proto)")
+  struct WKTService: UsesDescriptorSet {
+    static let descriptorSetName = "wkt-service"
+    static let fileDescriptorName = "wkt-service"
+
+    let codeGen: CodeGenerationRequest
+
+    init() throws {
+      let descriptor = try #require(try Self.fileDescriptor)
+      self.codeGen = try parseDescriptor(descriptor)
+    }
+
+    @Test("Dependencies")
+    func dependencies() {
+      let expected: [Dependency] = [
+        Dependency(module: "GRPCProtobuf", accessLevel: .internal),
+        Dependency(module: "SwiftProtobuf", accessLevel: .internal),
+      ]
+      #expect(self.codeGen.dependencies == expected)
+    }
+  }
 }
diff --git a/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGeneratorTests.swift b/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGeneratorTests.swift
index ddbd9ef..6422b96 100644
--- a/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGeneratorTests.swift
+++ b/Tests/GRPCProtobufCodeGenTests/ProtobufCodeGeneratorTests.swift
@@ -67,7 +67,6 @@ struct ProtobufCodeGeneratorTests: UsesDescriptorSet {
 
       import GRPCCore
       import GRPCProtobuf
-      import SwiftProtobuf
 
       // MARK: - test.TestService
 
diff --git a/dev/protos/generate.sh b/dev/protos/generate.sh
index 8f87099..2faa25d 100755
--- a/dev/protos/generate.sh
+++ b/dev/protos/generate.sh
@@ -59,9 +59,21 @@ function generate_bar_service_descriptor_set {
     --include_imports
 }
 
+function generate_wkt_service_descriptor_set {
+  local proto proto_path output
+  proto="$here/local/wkt-service.proto"
+  proto_path="$(dirname "$proto")"
+  output="$root/Tests/GRPCProtobufCodeGenTests/Generated/wkt-service.pb"
+
+  invoke_protoc --descriptor_set_out="$output" "$proto" -I "$proto_path" \
+    --include_source_info \
+    --include_imports
+}
+
 #------------------------------------------------------------------------------
 
 # Descriptor sets
 generate_test_service_descriptor_set
 generate_foo_service_descriptor_set
 generate_bar_service_descriptor_set
+generate_wkt_service_descriptor_set
diff --git a/dev/protos/local/wkt-service.proto b/dev/protos/local/wkt-service.proto
new file mode 100644
index 0000000..d9beb94
--- /dev/null
+++ b/dev/protos/local/wkt-service.proto
@@ -0,0 +1,10 @@
+// Leading trivia.
+syntax = "proto3";
+
+package test;
+
+import "google/protobuf/any.proto";
+
+service WKTService {
+  rpc Method (google.protobuf.Any) returns (google.protobuf.Any) {}
+}