diff --git a/CMakeLists.txt b/CMakeLists.txt
index ffaf677c5..094d9069b 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -100,7 +100,7 @@ if(ENABLE_TESTING)
         ADD_CUSTOM_TARGET(covtest
             COMMAND make test
             COMMAND programs/test/selftest
-            COMMAND tests/compat.sh -m 'tls1 tls1_1 tls1_2 dtls1 dtls1_2'
+            COMMAND tests/compat.sh
             COMMAND tests/ssl-opt.sh
         )
 
diff --git a/tests/compat.sh b/tests/compat.sh
index 4b43e33a5..a333a1916 100755
--- a/tests/compat.sh
+++ b/tests/compat.sh
@@ -45,7 +45,7 @@ else
 fi
 
 # default values for options
-MODES="ssl3 tls1 tls1_1 tls1_2 dtls1 dtls1_2"
+MODES="tls1 tls1_1 tls1_2 dtls1 dtls1_2"
 VERIFIES="NO YES"
 TYPES="ECDSA RSA PSK"
 FILTER=""
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 2c63ab546..467f22a93 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -1,5 +1,11 @@
 #!/bin/sh
 
+# all.sh
+#
+# Copyright (c) 2014-2016, ARM Limited, All Rights Reserved
+#
+# Purpose
+#
 # Run all available tests (mostly).
 #
 # Warning: includes various build modes, so it will mess with the current
@@ -125,6 +131,22 @@ make
 msg "test: compat.sh (ASan build)" # ~ 6 min
 tests/compat.sh
 
+msg "build: Default + SSLv3 (ASan build)" # ~ 6 min
+cleanup
+scripts/config.pl set MBEDTLS_SSL_PROTO_SSL3
+CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
+make
+
+msg "test: SSLv3 - main suites and selftest (ASan build)" # ~ 50s
+make test
+programs/test/selftest
+
+msg "build: SSLv3 - compat.sh (ASan build)" # ~ 6 min
+tests/compat.sh -m 'ssl3 tls1 tls1_1 tls1_2 dtls1 dtls1_2'
+
+msg "build: SSLv3 - ssl-opt.sh (ASan build)" # ~ 6 min
+tests/ssl-opt.sh
+
 msg "build: cmake, full config, clang" # ~ 50s
 cleanup
 cp "$CONFIG_H" "$CONFIG_BAK"