diff --git a/tests/include/baremetal-override/time.h b/tests/include/baremetal-override/time.h
new file mode 100644
index 0000000..40eed2d
--- /dev/null
+++ b/tests/include/baremetal-override/time.h
@@ -0,0 +1,18 @@
+/*
+ *  Copyright The Mbed TLS Contributors
+ *  SPDX-License-Identifier: Apache-2.0
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License"); you may
+ *  not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *  http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+ *  WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+#error "time.h included in a configuration without MBEDTLS_HAVE_TIME"
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 0c2d9dd..7b25195 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -1435,9 +1435,15 @@
 component_build_crypto_baremetal () {
   msg "build: make, crypto only, baremetal config"
   scripts/config.py crypto_baremetal
-  make CFLAGS='-O1 -Werror'
+  make CFLAGS="-O1 -Werror -I$(pwd)/tests/include/baremetal-override/"
   are_empty_libraries library/libmbedx509.* library/libmbedtls.*
 }
+support_build_crypto_baremetal () {
+    # Older Glibc versions include time.h from other headers such as stdlib.h,
+    # which makes the no-time.h-in-baremetal check fail. Ubuntu 16.04 has this
+    # problem, Ubuntu 18.04 is ok.
+    ! grep -q -F time.h /usr/include/x86_64-linux-gnu/sys/types.h
+}
 
 component_test_depends_curves () {
     msg "test/build: curves.pl (gcc)" # ~ 4 min