diff --git a/.travis.yml b/.travis.yml
index 829823b1a..b137f75ed 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,25 +1,24 @@
 dist: bionic
 language: go
 go:
-  - 1.12.x
+  - 1.14.x
   - 1.13.x
-  - 1.x
   - tip
 
 matrix:
   include:
-    - go: 1.x
+    - go: 1.13.x
       name: "verify-dependencies"
       script:
         - make verify-dependencies
-    - go: 1.12.x
+    - go: 1.13.x
       name: "cgroup-systemd"
       env:
         - RUNC_USE_SYSTEMD=1
       script:
         - make BUILDTAGS="${BUILDTAGS}" all
         - sudo PATH="$PATH" make localintegration RUNC_USE_SYSTEMD=1
-    - go: 1.12.x
+    - go: 1.13.x
       name: "cgroup-v2"
       env:
         - VIRTUALBOX_VERSION=6.0
diff --git a/Dockerfile b/Dockerfile
index 5c654705e..83107cdb2 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -1,4 +1,4 @@
-FROM golang:1.12-stretch
+FROM golang:1.13-stretch
 
 RUN dpkg --add-architecture armel \
     && dpkg --add-architecture armhf \