diff --git a/cmake/modules/AddSwiftUnittests.cmake b/cmake/modules/AddSwiftUnittests.cmake
index 3c1a985548bae..7cd1f62e6741b 100644
--- a/cmake/modules/AddSwiftUnittests.cmake
+++ b/cmake/modules/AddSwiftUnittests.cmake
@@ -65,6 +65,13 @@ function(add_swift_unittest test_dirname)
       _ENABLE_EXTENDED_ALIGNED_STORAGE)
   endif()
 
+  # some headers switch their inline implementations based on
+  # SWIFT_STDLIB_SINGLE_THREADED_RUNTIME definition
+  if(SWIFT_STDLIB_SINGLE_THREADED_RUNTIME)
+    target_compile_definitions("${test_dirname}" PRIVATE
+      SWIFT_STDLIB_SINGLE_THREADED_RUNTIME)
+  endif()
+
   if(NOT SWIFT_COMPILER_IS_MSVC_LIKE)
     if(SWIFT_USE_LINKER)
       target_link_options(${test_dirname} PRIVATE
diff --git a/stdlib/public/Concurrency/GlobalExecutor.cpp b/stdlib/public/Concurrency/GlobalExecutor.cpp
index f304b2a14c35f..4e2c3bf07fa15 100644
--- a/stdlib/public/Concurrency/GlobalExecutor.cpp
+++ b/stdlib/public/Concurrency/GlobalExecutor.cpp
@@ -102,7 +102,7 @@ static DelayedJob *DelayedJobQueue = nullptr;
 
 /// Get the next-in-queue storage slot.
 static Job *&nextInQueue(Job *cur) {
-  return reinterpret_cast<Job*&>(cur->SchedulerPrivate);
+  return reinterpret_cast<Job*&>(cur->SchedulerPrivate[Job::NextWaitingTaskIndex]);
 }
 
 /// Insert a job into the cooperative global queue.
diff --git a/stdlib/public/Concurrency/Mutex.cpp b/stdlib/public/Concurrency/Mutex.cpp
index 6f59f6fae932b..4b11bc2974f18 100644
--- a/stdlib/public/Concurrency/Mutex.cpp
+++ b/stdlib/public/Concurrency/Mutex.cpp
@@ -15,7 +15,6 @@
 
 #include "../runtime/MutexPThread.cpp"
 #include "../runtime/MutexWin32.cpp"
-
 #ifdef SWIFT_STDLIB_SINGLE_THREADED_RUNTIME
   #include "swift/Runtime/MutexSingleThreaded.h"
 #endif
diff --git a/test/Concurrency/Runtime/async_task_locals_copy_to_sync.swift b/test/Concurrency/Runtime/async_task_locals_copy_to_sync.swift
index 82ecf44b37155..6c0219b6e3394 100644
--- a/test/Concurrency/Runtime/async_task_locals_copy_to_sync.swift
+++ b/test/Concurrency/Runtime/async_task_locals_copy_to_sync.swift
@@ -7,6 +7,8 @@
 // rdar://76038845
 // REQUIRES: concurrency_runtime
 // UNSUPPORTED: back_deployment_runtime
+// Disable on cooperative executor because it can't dispatch jobs before the end of main function
+// UNSUPPORTED: single_threaded_runtime
 
 import Dispatch
 
diff --git a/test/Concurrency/Runtime/cancellation_handler.swift b/test/Concurrency/Runtime/cancellation_handler.swift
index 386994b639b1a..2392290e3ee81 100644
--- a/test/Concurrency/Runtime/cancellation_handler.swift
+++ b/test/Concurrency/Runtime/cancellation_handler.swift
@@ -5,8 +5,7 @@
 // rdar://76038845
 // REQUIRES: concurrency_runtime
 // UNSUPPORTED: back_deployment_runtime
-// UNSUPPORTED: OS=windows-msvc
-// UNSUPPORTED: OS=wasi
+// UNSUPPORTED: single_threaded_runtime
 
 // for sleep
 #if canImport(Darwin)
diff --git a/test/Concurrency/Runtime/data_race_detection.swift b/test/Concurrency/Runtime/data_race_detection.swift
index eb3c4608be6a0..06434e32af041 100644
--- a/test/Concurrency/Runtime/data_race_detection.swift
+++ b/test/Concurrency/Runtime/data_race_detection.swift
@@ -8,6 +8,8 @@
 // rdar://76038845
 // REQUIRES: concurrency_runtime
 // UNSUPPORTED: back_deployment_runtime
+// UNSUPPORTED: single_threaded_runtime
+
 import _Concurrency
 import Dispatch
 
@@ -57,14 +59,14 @@ actor MyActor {
 struct Runner {
   static func main() async {
     print("Launching a main-actor task")
-    // CHECK: warning: data race detected: @MainActor function at main/data_race_detection.swift:21 was not called on the main thread
+    // CHECK: warning: data race detected: @MainActor function at main/data_race_detection.swift:23 was not called on the main thread
     launchFromMainThread()
     sleep(1)
 
     let actor = MyActor()
     let actorFn = await actor.getTaskOnMyActor()
     print("Launching an actor-instance task")
-    // CHECK: warning: data race detected: actor-isolated function at main/data_race_detection.swift:50 was not called on the same actor
+    // CHECK: warning: data race detected: actor-isolated function at main/data_race_detection.swift:52 was not called on the same actor
     launchTask(actorFn)
 
     sleep(1)
diff --git a/test/Concurrency/Runtime/mainactor.swift b/test/Concurrency/Runtime/mainactor.swift
index e66bf6eb2d570..09c1742d96cc6 100644
--- a/test/Concurrency/Runtime/mainactor.swift
+++ b/test/Concurrency/Runtime/mainactor.swift
@@ -7,6 +7,7 @@
 // rdar://76038845
 // REQUIRES: concurrency_runtime
 // UNSUPPORTED: back_deployment_runtime
+// UNSUPPORTED: single_threaded_runtime
 
 import Dispatch
 
diff --git a/test/Interpreter/enforce_exclusive_access.swift b/test/Interpreter/enforce_exclusive_access.swift
index 321dc5dfcd38b..a900089d1515f 100644
--- a/test/Interpreter/enforce_exclusive_access.swift
+++ b/test/Interpreter/enforce_exclusive_access.swift
@@ -4,6 +4,7 @@
 // RUN: %target-codesign %t/a.out
 // RUN: %target-run %t/a.out
 // REQUIRES: executable_test
+// UNSUPPORTED: single_threaded_runtime
 
 // Tests for traps at run time when enforcing exclusive access.
 
diff --git a/unittests/runtime/CMakeLists.txt b/unittests/runtime/CMakeLists.txt
index d7ae719204e7d..a72fcdd9cd894 100644
--- a/unittests/runtime/CMakeLists.txt
+++ b/unittests/runtime/CMakeLists.txt
@@ -84,12 +84,17 @@ if(("${SWIFT_HOST_VARIANT_SDK}" STREQUAL "${SWIFT_PRIMARY_VARIANT_SDK}") AND
     endif()
   endif()
 
+  if(NOT SWIFT_STDLIB_SINGLE_THREADED_RUNTIME)
+    list(APPEND PLATFORM_SOURCES Mutex.cpp)
+  endif()
+
   # Don't complain about these files not being in the sources list.
   set(LLVM_OPTIONAL_SOURCES
     weak.mm
     Refcounting.mm
     Actor.cpp
-    TaskStatus.cpp)
+    TaskStatus.cpp
+    Mutex.cpp)
 
   add_swift_unittest(SwiftRuntimeTests
     Array.cpp
@@ -97,7 +102,6 @@ if(("${SWIFT_HOST_VARIANT_SDK}" STREQUAL "${SWIFT_PRIMARY_VARIANT_SDK}") AND
     CompatibilityOverrideConcurrency.cpp
     Concurrent.cpp
     Metadata.cpp
-    Mutex.cpp
     Enum.cpp
     Refcounting.cpp
     Stdlib.cpp
diff --git a/unittests/runtime/Concurrent.cpp b/unittests/runtime/Concurrent.cpp
index c014fcb207001..f3b3ea9308b1e 100644
--- a/unittests/runtime/Concurrent.cpp
+++ b/unittests/runtime/Concurrent.cpp
@@ -45,6 +45,8 @@ TEST(ConcurrentReadableArrayTest, SingleThreaded) {
   check();
 }
 
+#ifndef SWIFT_STDLIB_SINGLE_THREADED_RUNTIME
+
 TEST(ConcurrentReadableArrayTest, MultiThreaded) {
   const int insertCount = 100000;
 
@@ -542,3 +544,4 @@ TEST(ConcurrentReadableHashMapTest, MultiThreaded4) {
   runTest(16, 1);
   runTest(16, 8);
 }
+#endif // !SWIFT_STDLIB_SINGLE_THREADED_RUNTIME
diff --git a/validation-test/Runtime/ConcurrentMetadata.swift b/validation-test/Runtime/ConcurrentMetadata.swift
index a006c5afb708b..60e8add4dc2cb 100644
--- a/validation-test/Runtime/ConcurrentMetadata.swift
+++ b/validation-test/Runtime/ConcurrentMetadata.swift
@@ -1,5 +1,6 @@
 // RUN: %target-run-simple-swift
 // REQUIRES: executable_test
+// UNSUPPORTED: single_threaded_runtime
 
 // Exercise the metadata cache from multiple threads to shake out any
 // concurrency bugs.