diff --git a/chapter08/pkgmgt.xml b/chapter08/pkgmgt.xml
index 42a6ff945..4c7bb6dd7 100644
--- a/chapter08/pkgmgt.xml
+++ b/chapter08/pkgmgt.xml
@@ -56,13 +56,13 @@
         5.10.17 to 5.10.18 or 5.11.1), nothing else needs to be rebuilt.
         The system will keep working fine thanks to the well-defined interface
         between the kernel and userspace.  Specifically, Linux API headers
-        need not be (and should not be, see the next item) upgraded
+        need not be upgraded
         along with the kernel.  You will merely need to reboot your system to use the
         upgraded kernel.</para>
       </listitem>
 
       <listitem>
-        <para>If the Linux API headers or Glibc need to be upgraded to a newer
+        <para>If Glibc needs to be upgraded to a newer
         version, (e.g.,  from Glibc-2.31 to Glibc-2.32), it is safer to
         rebuild LFS.  Though you <emphasis>may</emphasis> be able to rebuild
         all the packages in their dependency order, we do not recommend