diff --git a/scripts/package/install-extmod-build b/scripts/package/install-extmod-build
index 9fee4a3236cc9a22fb3b2f1bf239deabd937ff9a..d2c9cacecc0c30247db2eeb0b846173162fadbe8 100755
--- a/scripts/package/install-extmod-build
+++ b/scripts/package/install-extmod-build
@@ -44,4 +44,38 @@ mkdir -p "${destdir}"
 	fi
 } | tar -c -f - -T - | tar -xf - -C "${destdir}"
 
+# When ${CC} and ${HOSTCC} differ, we are likely cross-compiling. Rebuild host
+# programs using ${CC}. This assumes CC=${CROSS_COMPILE}gcc, which is usually
+# the case for package building. It does not cross-compile when CC=clang.
+#
+# This caters to host programs that participate in Kbuild. objtool and
+# resolve_btfids are out of scope.
+if [ "${CC}" != "${HOSTCC}" ] && is_enabled CONFIG_CC_CAN_LINK; then
+	echo "Rebuilding host programs with ${CC}..."
+
+	cat <<-'EOF' >  "${destdir}/Kbuild"
+	subdir-y := scripts
+	EOF
+
+	# HOSTCXX is not overridden. The C++ compiler is used to build:
+	# - scripts/kconfig/qconf, which is unneeded for external module builds
+	# - GCC plugins, which will not work on the installed system even after
+	#   being rebuilt.
+	#
+	# Use the single-target build to avoid the modpost invocation, which
+	# would overwrite Module.symvers.
+	"${MAKE}" HOSTCC="${CC}" KBUILD_EXTMOD="${destdir}" scripts/
+
+	cat <<-'EOF' >  "${destdir}/scripts/Kbuild"
+	subdir-y := basic
+	hostprogs-always-y := mod/modpost
+	mod/modpost-objs := $(addprefix mod/, modpost.o file2alias.o sumversion.o symsearch.o)
+	EOF
+
+	# Run once again to rebuild scripts/basic/ and scripts/mod/modpost.
+	"${MAKE}" HOSTCC="${CC}" KBUILD_EXTMOD="${destdir}" scripts/
+
+	rm -f "${destdir}/Kbuild" "${destdir}/scripts/Kbuild"
+fi
+
 find "${destdir}" \( -name '.*.cmd' -o -name '*.o' \) -delete