--- a/testing/docker/ubuntu1604-test/system-setup.sh
+++ b/testing/docker/ubuntu1604-test/system-setup.sh
@@ -151,32 +151,31 @@ valgrind date
 
 # adding multiverse to get 'ubuntu-restricted-extras' below
 apt-add-repository multiverse
 apt-get update
 
 # for mp4 codec (used in MSE tests)
 apt-get -q -y -f install ubuntu-restricted-extras
 
-apt-get -q -y -f install \
-    libxcb1 \
-    libxcb-render0 \
-    libxcb-shm0 \
-    libxcb-glx0 \
-    libxcb-shape0
-libxcb1_version=$(dpkg-query -s libxcb1 | grep ^Version | awk '{ print $2 }')
-[ "$libxcb1_version" = "1.11.1-1ubuntu1" ] || exit 1
+# Various graphics related package versions are pinned because they are known
+# to work.
+apt-get -q -y -f --allow-downgrades install \
+    libxcb1=1.11.1-1ubuntu1 \
+    libxcb-render0=1.11.1-1ubuntu1 \
+    libxcb-shm0=1.11.1-1ubuntu1 \
+    libxcb-glx0=1.11.1-1ubuntu1 \
+    libxcb-shape0=1.11.1-1ubuntu1
 
-apt-get -q -y -f install \
-    libgl1-mesa-dri \
-    libgl1-mesa-glx \
-    mesa-common-dev
-mesa_version=$(dpkg-query -s libgl1-mesa-dri | grep ^Version | awk '{ print $2 }')
-echo $mesa_version
-[ "$mesa_version" = "11.2.0-1ubuntu2" ] || exit 1
+apt-get -q -y -f --allow-downgrades install \
+    libegl1-mesa=11.2.0-1ubuntu2 \
+    libglapi-mesa=11.2.0-1ubuntu2 \
+    libgl1-mesa-dri=11.2.0-1ubuntu2 \
+    libgl1-mesa-glx=11.2.0-1ubuntu2 \
+    mesa-common-dev=11.2.0-1ubuntu2
 
 # revert the list of repos
 cp sources.list.orig /etc/apt/sources.list
 apt-get update
 
 # clean up
 cd /
 rm -rf /setup ~/.ccache ~/.cache ~/.npm