diff --git a/gnu/packages/linux.scm b/gnu/packages/linux.scm
index 0708b5cb81..9cd5de82c0 100644
--- a/gnu/packages/linux.scm
+++ b/gnu/packages/linux.scm
@@ -78,12 +78,18 @@
     (arguments
      `(#:modules ((guix build gnu-build-system)
                   (guix build utils)
-                  (srfi srfi-1))
+                  (srfi srfi-1)
+                  ,@(if (%current-target-system)
+                        '((guix build gnu-cross-build))
+                        '()))
        #:phases (alist-replace
                  'build ,(build-phase (%current-system))
                  (alist-replace
                   'install ,install-phase
-                  (alist-delete 'configure %standard-phases)))
+                  (alist-delete 'configure
+                                ,(if (%current-target-system)
+                                     '%standard-cross-phases
+                                     '%standard-phases))))
        #:tests? #f))
     (synopsis "GNU Linux-Libre kernel headers")
     (description "Headers of the Linux-Libre kernel.")