diff --git a/README b/README
index 7bc0cd213a..e6a00c2a8f 100644
--- a/README
+++ b/README
@@ -149,7 +149,7 @@ Building
 		HP-UX 11
 		IRIX64 6.5
 		NetBSD-current (with unproven-pthreads-0.17)
-		Red Hat Linux 6.0, 6.1, 6.2 [Linux kernel patch]
+		Red Hat Linux 6.0, 6.1, 6.2
 		Solaris 2.6, 7, 8
 
 	Additionally, we have unverified reports of success building
@@ -213,10 +213,10 @@ Building
 	on your system, and some require Perl; see bin/tests/system/README
 	for details.
 
-	Linux kernel patch:
-	To get useful core dumps under Linux it is necessary to get the
-	kernel to write the offending thread written to disk.  There is
-	a patch, contrib/linux/coredump-patch, which achieves this.
+	Linux systems do not provide useful core dumps for multithreaded 
+	programs unless the kernel patch in contrib/linux/coredump-patch
+	has been applied.  We recommend all Linux users to install this
+	patch so that any server crashes can be properly diagnosed.
 
 Documentation