diff --git a/.travis.yml b/.travis.yml
index 3f30de5..7c07ffd 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -2,7 +2,7 @@ language: minimal
 services: docker
 
 env:
-  - DOCKER_COMPOSE_VERSION=1.14.0
+  - DOCKER_COMPOSE_VERSION=1.20.1
 
 before_install:
   - sudo apt-get update
diff --git a/README.md b/README.md
index 480ba16..3b41d90 100644
--- a/README.md
+++ b/README.md
@@ -59,8 +59,8 @@ Other available stack variants:
 
 ### Host setup
 
-* [Docker Engine](https://docs.docker.com/install/) version **17.05+**
-* [Docker Compose](https://docs.docker.com/compose/install/) version **1.12.0+**
+* [Docker Engine](https://docs.docker.com/install/) version **17.05+** or newer
+* [Docker Compose](https://docs.docker.com/compose/install/) version **1.20.0+** or newer
 * 1.5 GB of RAM
 
 > :information_source: Especially on Linux, make sure your user has the [required permissions][linux-postinstall] to