diff --git a/glibc.spec b/glibc.spec
index 9a9dfe0..2423262 100644
--- a/glibc.spec
+++ b/glibc.spec
@@ -420,12 +420,6 @@ which is highly discouraged.
 %package headers
 Summary: Header files for development using standard C libraries.
 Provides: %{name}-headers(%{_target_cpu})
-%ifarch x86_64
-# If both -m32 and -m64 is to be supported on AMD64, x86_64 glibc-headers
-# have to be installed, not i586 ones.
-Obsoletes: %{name}-headers(i586)
-Obsoletes: %{name}-headers(i686)
-%endif
 Requires(pre): kernel-headers
 Requires: kernel-headers >= 2.2.1, %{name} = %{version}-%{release}
 BuildRequires: kernel-headers >= 3.2