diff --git a/stdlib/public/BackDeployConcurrency/TaskLocal.swift b/stdlib/public/BackDeployConcurrency/TaskLocal.swift
index d5eeb4d89f647..63883f9dbaac5 100644
--- a/stdlib/public/BackDeployConcurrency/TaskLocal.swift
+++ b/stdlib/public/BackDeployConcurrency/TaskLocal.swift
@@ -102,6 +102,7 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
     self.defaultValue = defaultValue
   }
 
+  @_alwaysEmitIntoClient
   var key: Builtin.RawPointer {
     unsafeBitCast(self, to: Builtin.RawPointer.self)
   }
@@ -135,6 +136,10 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
   /// If the value is a reference type, it will be retained for the duration of
   /// the operation closure.
   @discardableResult
+  @inlinable
+  @_unsafeInheritExecutor
+  @available(SwiftStdlib 5.1, *) // back deploy requires we declare the availability explicitly on this method
+  @_backDeploy(before: SwiftStdlib 5.8)
   public func withValue<R>(_ valueDuringOperation: Value, operation: () async throws -> R,
                            file: String = #file, line: UInt = #line) async rethrows -> R {
     // check if we're not trying to bind a value from an illegal context; this may crash
@@ -159,6 +164,7 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
   ///
   /// If the value is a reference type, it will be retained for the duration of
   /// the operation closure.
+  @inlinable
   @discardableResult
   public func withValue<R>(_ valueDuringOperation: Value, operation: () throws -> R,
                            file: String = #file, line: UInt = #line) rethrows -> R {
@@ -212,6 +218,7 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
 // ==== ------------------------------------------------------------------------
 
 @available(SwiftStdlib 5.1, *)
+@usableFromInline
 @_silgen_name("swift_task_localValuePush")
 func _taskLocalValuePush<Value>(
   key: Builtin.RawPointer/*: Key*/,
@@ -219,6 +226,7 @@ func _taskLocalValuePush<Value>(
 ) // where Key: TaskLocal
 
 @available(SwiftStdlib 5.1, *)
+@usableFromInline
 @_silgen_name("swift_task_localValuePop")
 func _taskLocalValuePop()
 
diff --git a/stdlib/public/Concurrency/TaskLocal.swift b/stdlib/public/Concurrency/TaskLocal.swift
index 90f06449c5f79..b208ad62c5ad7 100644
--- a/stdlib/public/Concurrency/TaskLocal.swift
+++ b/stdlib/public/Concurrency/TaskLocal.swift
@@ -102,6 +102,7 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
     self.defaultValue = defaultValue
   }
 
+  @_alwaysEmitIntoClient
   var key: Builtin.RawPointer {
     unsafeBitCast(self, to: Builtin.RawPointer.self)
   }
@@ -134,7 +135,11 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
   ///
   /// If the value is a reference type, it will be retained for the duration of
   /// the operation closure.
+  @inlinable
   @discardableResult
+  @_unsafeInheritExecutor
+  @available(SwiftStdlib 5.1, *) // back deploy requires we declare the availability explicitly on this method
+  @_backDeploy(before: SwiftStdlib 5.8)
   public func withValue<R>(_ valueDuringOperation: Value, operation: () async throws -> R,
                            file: String = #fileID, line: UInt = #line) async rethrows -> R {
     // check if we're not trying to bind a value from an illegal context; this may crash
@@ -159,6 +164,7 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
   ///
   /// If the value is a reference type, it will be retained for the duration of
   /// the operation closure.
+  @inlinable
   @discardableResult
   public func withValue<R>(_ valueDuringOperation: Value, operation: () throws -> R,
                            file: String = #fileID, line: UInt = #line) rethrows -> R {
@@ -212,6 +218,7 @@ public final class TaskLocal<Value: Sendable>: Sendable, CustomStringConvertible
 // ==== ------------------------------------------------------------------------
 
 @available(SwiftStdlib 5.1, *)
+@usableFromInline
 @_silgen_name("swift_task_localValuePush")
 func _taskLocalValuePush<Value>(
   key: Builtin.RawPointer/*: Key*/,
@@ -219,6 +226,7 @@ func _taskLocalValuePush<Value>(
 ) // where Key: TaskLocal
 
 @available(SwiftStdlib 5.1, *)
+@usableFromInline
 @_silgen_name("swift_task_localValuePop")
 func _taskLocalValuePop()
 
diff --git a/test/Concurrency/Runtime/async_task_locals_basic.swift b/test/Concurrency/Runtime/async_task_locals_basic.swift
index 056f9136341ae..8aae82873b7bd 100644
--- a/test/Concurrency/Runtime/async_task_locals_basic.swift
+++ b/test/Concurrency/Runtime/async_task_locals_basic.swift
@@ -199,6 +199,24 @@ func withLocal_body_mustNotEscape() async {
   _ = something // silence not used warning
 }
 
+@available(SwiftStdlib 5.1, *)
+actor Worker {
+  @TaskLocal
+  static var declaredInActor: String = "<default-value>"
+
+  func setAndRead() async {
+    print("setAndRead") // CHECK: setAndRead
+    await Worker.$declaredInActor.withValue("value-1") {
+      await printTaskLocalAsync(Worker.$declaredInActor) // CHECK-NEXT: TaskLocal<String>(defaultValue: <default-value>) (value-1)
+    }
+  }
+}
+
+@available(SwiftStdlib 5.1, *)
+func inside_actor() async {
+  await Worker().setAndRead()
+}
+
 @available(SwiftStdlib 5.1, *)
 @main struct Main {
   static func main() async {
@@ -210,5 +228,6 @@ func withLocal_body_mustNotEscape() async {
     await nested_3_onlyTopContributes()
     await nested_3_onlyTopContributesAsync()
     await nested_3_onlyTopContributesMixed()
+    await inside_actor()
   }
 }
diff --git a/test/Concurrency/async_task_locals_basic_warnings.swift b/test/Concurrency/async_task_locals_basic_warnings.swift
new file mode 100644
index 0000000000000..462f01767a949
--- /dev/null
+++ b/test/Concurrency/async_task_locals_basic_warnings.swift
@@ -0,0 +1,23 @@
+// RUN: %empty-directory(%t)
+// RUN: %target-swift-frontend -emit-module -emit-module-path %t/OtherActors.swiftmodule -module-name OtherActors %S/Inputs/OtherActors.swift -disable-availability-checking
+// RUN: %target-typecheck-verify-swift -I %t  -disable-availability-checking -warn-concurrency -parse-as-library
+// REQUIRES: concurrency
+
+// REQUIRES: concurrency
+
+@available(SwiftStdlib 5.1, *)
+actor Test {
+
+  @TaskLocal static var local: Int?
+
+  func run() async {
+    // This should NOT produce any warnings, the closure withValue uses is @Sendable:
+    await Test.$local.withValue(42) {
+      await work()
+    }
+  }
+
+  func work() async {
+    print("Hello \(Test.local ?? 0)")
+  }
+}