diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index d5fc12d0a..e60530fd7 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -530,6 +530,22 @@ make test
 msg "test: !MBEDTLS_SSL_RENEGOTIATION - ssl-opt.sh (ASan build)" # ~ 6 min
 if_build_succeeded tests/ssl-opt.sh
 
+msg "build: Default + RSA_NO_CRT (ASan build)" # ~ 6 min
+cleanup
+cp "$CONFIG_H" "$CONFIG_BAK"
+scripts/config.pl set MBEDTLS_RSA_NO_CRT
+CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
+make
+
+msg "test: RSA_NO_CRT - main suites (inc. selftests) (ASan build)" # ~ 50s
+make test
+
+msg "test: RSA_NO_CRT - RSA-related part of ssl-opt.sh (ASan build)" # ~ 5s
+tests/ssl-opt.sh -f RSA
+
+msg "test: RSA_NO_CRT - RSA-related part of compat.sh (ASan build)" # ~ 3 min
+tests/compat.sh -t RSA
+
 msg "build: cmake, full config, clang, C99" # ~ 50s
 cleanup
 cp "$CONFIG_H" "$CONFIG_BAK"