diff --git a/.travis.yml b/.travis.yml
index d921d49..6e15009 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -7,7 +7,7 @@ cache:
 go:
   - "1.11.13"
   - "1.12.9"
-  - "1.13beta1"
+  - "1.13rc2"
 
 branches:
   only:
@@ -21,7 +21,7 @@ os:
 matrix:
   include:
     - os: linux
-      go: "1.13beta1"
+      go: "1.13rc2"
       env: CHECK_GOFMT=1
 
 env:
diff --git a/testdata/mod_readonly.txt b/testdata/mod_readonly.txt
index 10e3cf2..6ff4b77 100644
--- a/testdata/mod_readonly.txt
+++ b/testdata/mod_readonly.txt
@@ -7,7 +7,8 @@ cd repo
 ! gobin -mod=readonly github.com/gobin-testrepos/simple-main
 ! stdout .+
 [go1.11] [!go1.12] stderr 'import lookup disabled by -mod=readonly'
-[go1.12] stderr 'can''t load package: package github.com/gobin-testrepos/simple-main: unknown import path "github.com/gobin-testrepos/simple-main": import lookup disabled by -mod=readonly'
+[go1.12] [!go1.13] stderr 'can''t load package: package github.com/gobin-testrepos/simple-main: unknown import path "github.com/gobin-testrepos/simple-main": import lookup disabled by -mod=readonly'
+[go1.13] stderr 'can''t load package: package github\.com/gobin-testrepos/simple-main: import lookup disabled by -mod=readonly'
 
 -- repo/go.mod --
 module example.com/repo