diff --git a/gnu/local.mk b/gnu/local.mk
index bc214b3443..cfcbb38b84 100644
--- a/gnu/local.mk
+++ b/gnu/local.mk
@@ -1228,6 +1228,7 @@ dist_patch_DATA =						\
   %D%/packages/patches/guile-3.0-relocatable.patch		\
   %D%/packages/patches/guile-linux-syscalls.patch		\
   %D%/packages/patches/guile-3.0-linux-syscalls.patch		\
+  %D%/packages/patches/guile-cross-compilation.patch		\
   %D%/packages/patches/guile-fibers-destroy-peer-schedulers.patch \
   %D%/packages/patches/guile-fibers-wait-for-io-readiness.patch \
   %D%/packages/patches/guile-gdbm-ffi-support-gdbm-1.14.patch	\
diff --git a/gnu/packages/guile.scm b/gnu/packages/guile.scm
index f74a389da5..fc969f3bb5 100644
--- a/gnu/packages/guile.scm
+++ b/gnu/packages/guile.scm
@@ -398,7 +398,8 @@ without requiring the source code to be rewritten.")
                                   version ".tar.xz"))
               (sha256
                (base32
-                "04wagg0zr0sib0w9ly5jm91jplgfigzfgmy8fjdlx07jaq50d9ys"))))
+                "04wagg0zr0sib0w9ly5jm91jplgfigzfgmy8fjdlx07jaq50d9ys"))
+              (patches (search-patches "guile-cross-compilation.patch"))))
     (arguments
      (substitute-keyword-arguments (package-arguments guile-3.0)
        ;; Guile 3.0.8 is bit-reproducible when built in parallel, thanks to
diff --git a/gnu/packages/patches/guile-cross-compilation.patch b/gnu/packages/patches/guile-cross-compilation.patch
new file mode 100644
index 0000000000..a594cb9421
--- /dev/null
+++ b/gnu/packages/patches/guile-cross-compilation.patch
@@ -0,0 +1,55 @@
+When cross-compiling, get type sizes of the host system, not the build system.
+
+This is Guile commit 24b30130ca75653bdbacea84ce0443608379d630, which
+fixes <https://issues.guix.gnu.org/54198>, with one difference: it uses
+8 instead of SIZEOF_INTMAX_T, such that we do not need to modify
+'configure.ac' to check for the size of 'intmax_t' and to run 'autoreconf'
+(libguile/numbers.c expects SCM_SIZEOF_INTMAX_T = 8).
+
+diff --git a/libguile/gen-scmconfig.c b/libguile/gen-scmconfig.c
+index 01b14f14d..691ebd0af 100644
+--- a/libguile/gen-scmconfig.c
++++ b/libguile/gen-scmconfig.c
+@@ -1,4 +1,4 @@
+-/* Copyright 2003-2013,2018,2020,2021
++/* Copyright 2003-2013, 2018, 2020-2022
+      Free Software Foundation, Inc.
+ 
+    This file is part of Guile.
+@@ -238,21 +238,21 @@ main (int argc, char *argv[])
+   pf ("\n");
+   pf ("/* Standard types. */\n");
+ 
+-  pf ("#define SCM_SIZEOF_CHAR %zu\n", sizeof (char));
+-  pf ("#define SCM_SIZEOF_UNSIGNED_CHAR %zu\n", sizeof (unsigned char));
+-  pf ("#define SCM_SIZEOF_SHORT %zu\n", sizeof (short));
+-  pf ("#define SCM_SIZEOF_UNSIGNED_SHORT %zu\n", sizeof (unsigned short));
+-  pf ("#define SCM_SIZEOF_LONG %zu\n", sizeof (long));
+-  pf ("#define SCM_SIZEOF_UNSIGNED_LONG %zu\n", sizeof (unsigned long));
+-  pf ("#define SCM_SIZEOF_INT %zu\n", sizeof (int));
+-  pf ("#define SCM_SIZEOF_UNSIGNED_INT %zu\n", sizeof (unsigned int));
+-  pf ("#define SCM_SIZEOF_SIZE_T %zu\n", sizeof (size_t));
+-  pf ("#define SCM_SIZEOF_LONG_LONG %zu\n", sizeof (long long));
+-  pf ("#define SCM_SIZEOF_UNSIGNED_LONG_LONG %zu\n", sizeof (unsigned long long));
+-  pf ("#define SCM_SIZEOF_INTMAX %zu\n", sizeof (intmax_t));
+-  pf ("#define SCM_SIZEOF_SCM_T_PTRDIFF %zu\n", sizeof (ptrdiff_t));
+-  pf ("#define SCM_SIZEOF_INTPTR_T %zu\n", sizeof (intptr_t));
+-  pf ("#define SCM_SIZEOF_UINTPTR_T %zu\n", sizeof (uintptr_t));
++  pf ("#define SCM_SIZEOF_CHAR %d\n", SIZEOF_CHAR);
++  pf ("#define SCM_SIZEOF_UNSIGNED_CHAR %d\n", SIZEOF_UNSIGNED_CHAR);
++  pf ("#define SCM_SIZEOF_SHORT %d\n", SIZEOF_SHORT);
++  pf ("#define SCM_SIZEOF_UNSIGNED_SHORT %d\n", SIZEOF_UNSIGNED_SHORT);
++  pf ("#define SCM_SIZEOF_LONG %d\n", SIZEOF_LONG);
++  pf ("#define SCM_SIZEOF_UNSIGNED_LONG %d\n", SIZEOF_UNSIGNED_LONG);
++  pf ("#define SCM_SIZEOF_INT %d\n", SIZEOF_INT);
++  pf ("#define SCM_SIZEOF_UNSIGNED_INT %d\n", SIZEOF_UNSIGNED_INT);
++  pf ("#define SCM_SIZEOF_SIZE_T %d\n", SIZEOF_SIZE_T);
++  pf ("#define SCM_SIZEOF_LONG_LONG %d\n", SIZEOF_LONG_LONG);
++  pf ("#define SCM_SIZEOF_UNSIGNED_LONG_LONG %d\n", SIZEOF_UNSIGNED_LONG_LONG);
++  pf ("#define SCM_SIZEOF_INTMAX %d\n", 8); /* like SIZEOF_INTMAX_T */
++  pf ("#define SCM_SIZEOF_SCM_T_PTRDIFF %d\n", SIZEOF_PTRDIFF_T);
++  pf ("#define SCM_SIZEOF_INTPTR_T %d\n", SIZEOF_INTPTR_T);
++  pf ("#define SCM_SIZEOF_UINTPTR_T %d\n", SIZEOF_UINTPTR_T);
+ 
+   pf ("\n");
+   pf ("/* same as POSIX \"struct timespec\" -- always defined */\n");