diff --git a/sdk_container/src/third_party/coreos-overlay/profiles/coreos/base/package.use.force b/sdk_container/src/third_party/coreos-overlay/profiles/coreos/base/package.use.force
index 6b27ec890a..69316da05b 100644
--- a/sdk_container/src/third_party/coreos-overlay/profiles/coreos/base/package.use.force
+++ b/sdk_container/src/third_party/coreos-overlay/profiles/coreos/base/package.use.force
@@ -22,3 +22,8 @@ sys-apps/portage -xattr
 
 # Force openssl provider for net-misc/curl
 net-misc/curl ssl openssl curl_ssl_openssl
+
+# Force cpudetection for dev-libs/gmp, so it's also picked up during
+# bootstrap. That way, we won't be hitting bindist restrictions that
+# cause the build in stage1 to fail.
+dev-libs/gmp cpudetection