diff --git a/.travis.yml b/.travis.yml
index e0bff17..09e0941 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,26 +1,21 @@
 # See https://github.com/silverstripe/silverstripe-travis-support for setup details
 
-sudo: false
-
 language: php
 
-php:
-  - 5.4
-  - 5.5
-
-env:
-  - DB=MYSQL CORE_RELEASE=3.5
+dist: trusty
 
 matrix:
   include:
-    - php: 5.6
-      env: DB=MYSQL CORE_RELEASE=3
-    - php: 5.6
-      env: DB=MYSQL CORE_RELEASE=3.1
-    - php: 5.6
-      env: DB=PGSQL CORE_RELEASE=3.2
-    - php: 7.1
-      env: DB=MYSQL CORE_RELEASE=3.6
+    - php: '5.6'
+      env: DB=PGSQL CORE_RELEASE=3.6
+    - php: '7.0'
+      env: DB=MYSQL CORE_RELEASE=3.7
+    - php: '7.1'
+      env: DB=MYSQL CORE_RELEASE=3.7
+    - php: '7.2'
+      env: DB=MYSQL CORE_RELEASE=3.7
+    - php: '7.3'
+      env: DB=MYSQL CORE_RELEASE=3.7
 
 before_script:
   - composer self-update || true
diff --git a/composer.json b/composer.json
index 9084db8..23acd3f 100644
--- a/composer.json
+++ b/composer.json
@@ -20,7 +20,7 @@
         "silverstripe/framework": "~3.1"
     },
     "require-dev": {
-        "phpunit/PHPUnit": "~3.7@stable"
+        "phpunit/phpunit": "^5.7"
     },
     "extra": [],
     "license": "BSD-3-Clause"