diff --git a/.travis.yml b/.travis.yml
index b6162fd0..7944893c 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,10 +1,15 @@
 language: php
 matrix:
+  fast_finish: true # Don't wait for the allowed failures to build.
   include:
   - php: 7.3
     env: PREFER_LOWEST=""
   - php: 7.2
     env: PREFER_LOWEST=""
+  allow_failures:
+    # PHP 7.4 testing is allowed to fail because the container isn't ready yet 
+    - php: 7.4
+      env: PREFER_LOWEST=""
 
 cache:
   directories:
diff --git a/composer.json b/composer.json
index 12b1f30b..a2a887b1 100644
--- a/composer.json
+++ b/composer.json
@@ -100,7 +100,7 @@
         ]
     },
     "require": {
-        "php": ">=7.1"
+        "php": ">=7.2"
     },
     "require-dev": {
         "phpstan/phpstan": "^0.12",