diff --git a/include/wx/thread.h b/include/wx/thread.h
index e7dcf882ac..3c3493c3be 100644
--- a/include/wx/thread.h
+++ b/include/wx/thread.h
@@ -22,11 +22,6 @@
 
 #if wxUSE_THREADS
 
-// Windows headers define it
-#ifdef Yield
-    #undef Yield
-#endif
-
 // ----------------------------------------------------------------------------
 // constants
 // ----------------------------------------------------------------------------
@@ -452,7 +447,7 @@ public:
 
         // Sleep during the specified period of time in milliseconds
         //
-        // NB: at least under MSW worker threads can not call ::wxSleep()!
+        // This is the same as wxMilliSleep().
     static void Sleep(unsigned long milliseconds);
 
         // get the number of system CPUs - useful with SetConcurrency()
diff --git a/include/wx/thrimpl.cpp b/include/wx/thrimpl.cpp
index 63b837fec6..b9773620a9 100644
--- a/include/wx/thrimpl.cpp
+++ b/include/wx/thrimpl.cpp
@@ -336,3 +336,17 @@ wxSemaError wxSemaphore::Post()
     return m_internal->Post();
 }
 
+// ----------------------------------------------------------------------------
+// wxThread
+// ----------------------------------------------------------------------------
+
+#ifndef __WXMAC__
+
+#include "wx/utils.h"
+
+void wxThread::Sleep(unsigned long milliseconds)
+{
+    wxMilliSleep(milliseconds);
+}
+
+#endif // __WXMAC__
diff --git a/interface/thread.h b/interface/thread.h
index c7eca68d19..5f07abb5ed 100644
--- a/interface/thread.h
+++ b/interface/thread.h
@@ -593,8 +593,8 @@ public:
 
     /**
         Pauses the thread execution for the given amount of time.
-        This function should be used instead of wxSleep() by all worker
-        threads (i.e. all except the main one).
+
+        This is the same as wxMilliSleep().
     */
     static void Sleep(unsigned long milliseconds);
 
diff --git a/src/msw/thread.cpp b/src/msw/thread.cpp
index 942a0379da..301144ac14 100644
--- a/src/msw/thread.cpp
+++ b/src/msw/thread.cpp
@@ -916,11 +916,6 @@ void wxThread::Yield()
     ::Sleep(0);
 }
 
-void wxThread::Sleep(unsigned long milliseconds)
-{
-    ::Sleep(milliseconds);
-}
-
 int wxThread::GetCPUCount()
 {
     SYSTEM_INFO si;
diff --git a/src/os2/thread.cpp b/src/os2/thread.cpp
index 253fb2143a..f0b8e6068e 100644
--- a/src/os2/thread.cpp
+++ b/src/os2/thread.cpp
@@ -569,13 +569,6 @@ void wxThread::Yield()
     ::DosSleep(0);
 }
 
-void wxThread::Sleep(
-  unsigned long                     ulMilliseconds
-)
-{
-    ::DosSleep(ulMilliseconds);
-}
-
 int wxThread::GetCPUCount()
 {
     ULONG CPUCount;
diff --git a/src/palmos/thread.cpp b/src/palmos/thread.cpp
index cd2e55d310..6dbe22bb95 100644
--- a/src/palmos/thread.cpp
+++ b/src/palmos/thread.cpp
@@ -412,10 +412,6 @@ void wxThread::Yield()
 {
 }
 
-void wxThread::Sleep(unsigned long milliseconds)
-{
-}
-
 int wxThread::GetCPUCount()
 {
     return 1;
diff --git a/src/unix/threadpsx.cpp b/src/unix/threadpsx.cpp
index 8e7d9bba9f..29288623cd 100644
--- a/src/unix/threadpsx.cpp
+++ b/src/unix/threadpsx.cpp
@@ -1050,11 +1050,6 @@ void wxThread::Yield()
 #endif
 }
 
-void wxThread::Sleep(unsigned long milliseconds)
-{
-    wxMilliSleep(milliseconds);
-}
-
 int wxThread::GetCPUCount()
 {
 #if defined(_SC_NPROCESSORS_ONLN)