diff --git a/gnu/packages/base.scm b/gnu/packages/base.scm
index cc10a4b673..565d4db31d 100644
--- a/gnu/packages/base.scm
+++ b/gnu/packages/base.scm
@@ -702,7 +702,9 @@ (define-public glibc
                                      "glibc-supported-locales.patch"
                                      "glibc-hurd-clock_t_centiseconds.patch"
                                      "glibc-hurd-clock_gettime_monotonic.patch"
-                                     "glibc-hurd-signal-sa-siginfo.patch"))))
+                                     "glibc-hurd-signal-sa-siginfo.patch"
+                                     "glibc-hurd-mach-print.patch"
+                                     "glibc-hurd-gettyent.patch"))))
    (build-system gnu-build-system)
 
    ;; Glibc's <limits.h> refers to <linux/limit.h>, for instance, so glibc
diff --git a/gnu/packages/cross-base.scm b/gnu/packages/cross-base.scm
index b35a3cb40b..20037ac5c0 100644
--- a/gnu/packages/cross-base.scm
+++ b/gnu/packages/cross-base.scm
@@ -521,16 +521,7 @@ (define* (cross-libc target
                                (("/[^ ]+/lib/libc.so.0.3")
                                 (string-append out "/lib/libc.so.0.3"
                                                " libmachuser.so libhurduser.so"))))
-                           #t))
-                       ;; TODO: move to glibc in the next rebuild cycle
-                       (add-after 'unpack 'patch-libc/hurd
-                         (lambda* (#:key inputs #:allow-other-keys)
-                           (for-each
-                            (lambda (name)
-                              (let ((patch (assoc-ref inputs name)))
-                                (invoke "patch" "-p1" "--force" "-i" patch)))
-                            '("hurd-mach-print.patch"
-                              "hurd-gettyent.patch")))))
+                           #t)))
                      '())))))
 
         ;; Shadow the native "kernel-headers" because glibc's recipe expects the
@@ -543,16 +534,6 @@ (define* (cross-libc target
 
         (native-inputs `(("cross-gcc" ,xgcc)
                          ("cross-binutils" ,xbinutils)
-                         ,@(if (hurd-triplet? target)
-                               `(("cross-mig"
-                                  ,@(assoc-ref (package-native-inputs xheaders)
-                                               "cross-mig"))
-                                 ;; TODO: move to glibc in the next rebuild cycle
-                                 ("hurd-mach-print.patch"
-                                  ,@(search-patches "glibc-hurd-mach-print.patch"))
-                                 ("hurd-gettyent.patch"
-                                  ,@(search-patches "glibc-hurd-gettyent.patch")))
-                               '())
                          ,@(package-inputs libc)  ;FIXME: static-bash
                          ,@(package-native-inputs libc))))))