diff --git a/.travis.yml b/.travis.yml
index 4d8715574418768902a14c482ccc22200e1f2c7c..2176f307c4b7862535cfa74513683de328e35bbb 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,9 +1,9 @@
 ---
 language: go
 go:
-  - '1.10'
   - '1.11'
   - '1.12'
+  - '1.13'
 
 script:
   - make lint
diff --git a/Dockerfile b/Dockerfile
index d09d92cf3b05895467aae969c99f29761d085218..b75fd4a5f859a6b083a74c8a678b704b513221e6 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -1,4 +1,4 @@
-FROM golang:1.11
+FROM golang:1.13
 
 WORKDIR /go/src/github.com/mccutchen/go-httpbin