diff --git a/.github/workflows/docker.yml b/.github/workflows/docker-compose.yml
similarity index 96%
rename from .github/workflows/docker.yml
rename to .github/workflows/docker-compose.yml
index 67032f576ddf..7865d3bfd84d 100644
--- a/.github/workflows/docker.yml
+++ b/.github/workflows/docker-compose.yml
@@ -1,4 +1,4 @@
-name: Docker
+name: Docker Compose
 
 on:
   push:
@@ -9,7 +9,7 @@ on:
     paths:
       - 'docker/**'
       - 'Cargo.toml'
-      - '.github/workflows/docker.yml'
+      - '.github/workflows/docker-compose.yml'
       - 'toolchains/**'
   workflow_dispatch:
 
@@ -34,7 +34,7 @@ permissions:
   contents: read
 
 jobs:
-  build:
+  compose:
     runs-on: ubuntu-latest-16-cores
     timeout-minutes: 40
 
diff --git a/README.md b/README.md
index 8afee7fcab3b..674336173487 100644
--- a/README.md
+++ b/README.md
@@ -1,7 +1,7 @@
 # <img src="https://github.com/linera-io/linera-protocol/assets/1105398/fe08c941-93af-4114-bb83-bcc0eaec95f9" width="250" height="90" />
 
 [![License](https://img.shields.io/badge/license-Apache-green.svg)](LICENSE)
-[![Build Status for Docker](https://github.com/linera-io/linera-protocol/actions/workflows/docker.yml/badge.svg)](https://github.com/linera-io/linera-protocol/actions/workflows/docker.yml)
+[![Build Status for Docker](https://github.com/linera-io/linera-protocol/actions/workflows/docker-compose.yml/badge.svg)](https://github.com/linera-io/linera-protocol/actions/workflows/docker-compose.yml)
 [![Build Status for Rust](https://github.com/linera-io/linera-protocol/actions/workflows/rust.yml/badge.svg)](https://github.com/linera-io/linera-protocol/actions/workflows/rust.yml)
 [![Build Status for Documentation](https://github.com/linera-io/linera-protocol/actions/workflows/documentation.yml/badge.svg)](https://github.com/linera-io/linera-protocol/actions/workflows/documentation.yml)
 [![Twitter](https://img.shields.io/twitter/follow/linera_io)](https://x.com/linera_io)