diff --git a/gnu/packages/linux.scm b/gnu/packages/linux.scm
index b1bcda5e70..91109c41d9 100644
--- a/gnu/packages/linux.scm
+++ b/gnu/packages/linux.scm
@@ -739,6 +739,7 @@ (define (make-linux-libre-headers* version gnu-revision source)
                    (format p "~a-default~%" ,version)))))))
        #:allowed-references ()
        #:tests? #f))
+    (supported-systems (delete "i586-gnu" %supported-systems))
     (home-page "https://www.gnu.org/software/linux-libre/")
     (synopsis "GNU Linux-Libre kernel headers")
     (description "Headers of the Linux-Libre kernel.")