diff --git a/tests/tests.yml b/tests/tests.yml
index e248475..800f3eb 100644
--- a/tests/tests.yml
+++ b/tests/tests.yml
@@ -14,6 +14,9 @@
     - smoke34:
         dir: python/smoke
         run: VERSION=3.4 METHOD=virtualenv ./venv.sh
+    - smoke34nd:
+        dir: python/smoke
+        run: VERSION=3.4 METHOD=virtualenv-no-download ./venv.sh
     - smoke35:
         dir: python/smoke
         run: VERSION=3.5 METHOD=virtualenv ./venv.sh
@@ -26,6 +29,9 @@
     - smoke38:
         dir: python/smoke
         run: VERSION=3.8 METHOD=virtualenv ./venv.sh
+    - smoke38nd:
+        dir: python/smoke
+        run: VERSION=3.8 METHOD=virtualenv-no-download ./venv.sh
     required_packages:
     - gcc
     - virtualenv
@@ -35,6 +41,5 @@
     - python36
     - python37
     - python38
-    - python2-devel
     - python3-devel
     - python3-tox