diff --git a/testsuite/install.sh b/testsuite/install.sh
index bd745dd07..9783e4850 100755
--- a/testsuite/install.sh
+++ b/testsuite/install.sh
@@ -10,8 +10,8 @@ SITE_PACKAGES=$(python -c 'from distutils.sysconfig import get_python_lib; print
 if [[ ${PYVER:0:1} == "2" && $PYVER != "2.7" && $PYVER != "2.6" ]]; then
     pip install --index-url=https://pypi.org/simple -r testsuite/requirements-legacy.txt
 else
-    if [[ "$PYVER" == "2.6" ]]; then
-        pip install --index-url=https://pypi.org/simple --upgrade pip
+    if [[ "${PYVER:0:1}" == "2" ]]; then
+        pip install --index-url=https://pypi.org/simple --upgrade 'pip<21'
     else
         pip install --upgrade pip
     fi