diff --git a/doc/building.html b/doc/building.html
index d06b956a..bc4ce44b 100644
--- a/doc/building.html
+++ b/doc/building.html
@@ -223,8 +223,9 @@
     <h3><a name="mingw">Notes for MinGW (and Cygwin with -mno-cygwin) GCC
     Users</a></h3>
 
-    <p>You will need to create a MinGW-compatible version of the Python
-    library; the one shipped with Python will only work with a
+    <p>If you are using a version of Python prior to 2.4.1, you will
+    need to create a MinGW-compatible version of the Python library;
+    the one shipped with Python will only work with a
     Microsoft-compatible linker. Follow the instructions in the
     "Non-Microsoft" section of the "Building Extensions: Tips And Tricks"
     chapter in <a href=