diff --git a/.travis.yml b/.travis.yml
index 058e19c..3204cca 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -2,17 +2,17 @@ language: php
 
 env:
   global:
-    - COMPOSER_ROOT_VERSION=4.5.x-dev
+    - COMPOSER_ROOT_VERSION=5.x-dev
 
 matrix:
   include:
-    - php: 5.6
-      env: DB=MYSQL
-    - php: 7.0
-      env: DB=PGSQL
     - php: 7.1
       env: DB=MYSQL
     - php: 7.2
+      env: DB=PGSQL
+    - php: 7.3
+      env: DB=MYSQL
+    - php: 7.3
       env: DB=MYSQL
 
 before_script:
@@ -21,7 +21,7 @@ before_script:
 
   - composer validate
   - composer require --no-update silverstripe-themes/simple:~3.2.0
-  - if [[ $DB == PGSQL ]]; then composer require silverstripe/postgresql:2.1.x-dev --no-update; fi
+  - if [[ $DB == PGSQL ]]; then composer require silverstripe/postgresql:3.x-dev --no-update; fi
   - composer install --prefer-source --no-interaction --no-progress --no-suggest --optimize-autoloader --verbose --profile
 
   # Validate cow schema