diff -up ./tests/ssl/ssl.sh.disableSSL2tests ./tests/ssl/ssl.sh
--- ./tests/ssl/ssl.sh.disableSSL2tests	2021-05-28 02:50:43.000000000 -0700
+++ ./tests/ssl/ssl.sh	2021-06-03 15:22:02.725514179 -0700
@@ -88,9 +88,14 @@ ssl_init()
   NSS_SSL_RUN=${NSS_SSL_RUN:-$nss_ssl_run}
 
   # Test case files
-  SSLCOV=${QADIR}/ssl/sslcov.txt
+  if [ "${NSS_NO_SSL2}" = "1" ]; then
+    SSLCOV=${QADIR}/ssl/sslcov.noSSL2orExport.txt
+    SSLSTRESS=${QADIR}/ssl/sslstress.noSSL2orExport.txt
+  else
+    SSLCOV=${QADIR}/ssl/sslcov.txt
+    SSLSTRESS=${QADIR}/ssl/sslstress.txt
+  fi
   SSLAUTH=${QADIR}/ssl/sslauth.txt
-  SSLSTRESS=${QADIR}/ssl/sslstress.txt
   SSLPOLICY=${QADIR}/ssl/sslpolicy.txt
   REQUEST_FILE=${QADIR}/ssl/sslreq.dat
 
@@ -159,7 +164,11 @@ is_selfserv_alive()
   fi
 
   echo "kill -0 ${PID} >/dev/null 2>/dev/null"
+  if [ "${NSS_NO_SSL2}" = "1" ] && [[ ${EXP} -eq 0 || ${SSL2} -eq 0 ]]; then
+  echo "No server to kill"
+  else
   kill -0 ${PID} >/dev/null 2>/dev/null || Exit 10 "Fatal - selfserv process not detectable"
+  fi
 
   echo "selfserv with PID ${PID} found at `date`"
 }
@@ -183,7 +192,11 @@ wait_for_selfserv()
       ${BINDIR}/tstclnt -4 -p ${PORT} -h ${HOSTADDR} ${CLIENT_OPTIONS} -q \
               -d ${P_R_CLIENTDIR} $verbose < ${REQUEST_FILE}
       if [ $? -ne 0 ]; then
+          if [ "${NSS_NO_SSL2}" = "1" ] && [[ ${EXP} -eq 0 || ${SSL2} -eq 0 ]]; then
+              html_passed "Server never started"
+          else
           html_failed "Waiting for Server"
+          fi
       fi
   fi
   is_selfserv_alive
@@ -332,6 +345,12 @@ ssl_cov()
       echo "${testname}" | grep "EXPORT" > /dev/null
       EXP=$?
 
+      #  skip export tests
+      if [ ${EXP} -eq 0 ]; then
+         echo "export test skipped"
+         continue
+      fi
+
       # RSA-PSS tests are handled in a separate function
       case $testname in
         *RSA-PSS)