diff --git a/etc/taskcluster/docker/build.dockerfile b/etc/taskcluster/docker/build.dockerfile
index e0c1c23e56e..bb8dc87a1ff 100644
--- a/etc/taskcluster/docker/build.dockerfile
+++ b/etc/taskcluster/docker/build.dockerfile
@@ -24,7 +24,7 @@ RUN \
         libgstreamer-plugins-bad1.0-dev \
         #
         # OpenSSL
-        libssl1.0-dev \
+        libssl-dev \
         #
         # blurz
         libdbus-1-dev \
diff --git a/etc/taskcluster/docker/run.dockerfile b/etc/taskcluster/docker/run.dockerfile
index 67e048f8e49..6cd56e935a6 100644
--- a/etc/taskcluster/docker/run.dockerfile
+++ b/etc/taskcluster/docker/run.dockerfile
@@ -3,7 +3,7 @@
 # Servo’s runtime dependencies
 RUN apt-get install -qy --no-install-recommends \
     libgl1 \
-    libssl1.0.0 \
+    libssl1.1 \
     libdbus-1-3 \
     libgstreamer-plugins-bad1.0-0 \
     gstreamer1.0-plugins-good