diff --git a/compose/compose-file/compose-file-v2.md b/compose/compose-file/compose-file-v2.md
index 5867968a25..6ee0c66246 100644
--- a/compose/compose-file/compose-file-v2.md
+++ b/compose/compose-file/compose-file-v2.md
@@ -738,8 +738,7 @@ options and tags it with the specified tag.
 > [Added in version 2.2 file format](compose-versioning.md#version-22).
 
 Run an init inside the container that forwards signals and reaps processes.
-Either set a boolean value to use the default `init`, or specify a path to
-a custom one.
+Set this option to `true` to enable this feature for the service.
 
     version: "{{ site.compose_file_v2 }}"
     services:
@@ -747,12 +746,11 @@ a custom one.
         image: alpine:latest
         init: true
 
+> The default init binary that is used is [Tini](https://github.com/krallin/tini),
+> and is installed in `/usr/libexec/docker-init` on the daemon host. You can
+> configure the daemon to use a custom init binary through the
+> [`init-path` configuration option](/engine/reference/commandline/dockerd/#daemon-configuration-file).
 
-    version: "{{ site.compose_file_v2 }}"
-    services:
-      web:
-        image: alpine:latest
-        init: /usr/libexec/docker-init
 
 ### isolation
 
diff --git a/compose/compose-file/index.md b/compose/compose-file/index.md
index f30b340823..6b045ddf26 100644
--- a/compose/compose-file/index.md
+++ b/compose/compose-file/index.md
@@ -1255,8 +1255,7 @@ options and tags it with the specified tag.
 > [Added in version 3.7 file format](compose-versioning.md#version-37).
 
 Run an init inside the container that forwards signals and reaps processes.
-Either set a boolean value to use the default `init`, or specify a path to
-a custom one.
+Set this option to `true` to enable this feature for the service.
 
 ```yaml
 version: "{{ site.compose_file_v3 }}"
@@ -1266,13 +1265,10 @@ services:
     init: true
 ```
 
-```yaml
-version: '2.2'
-services:
-  web:
-    image: alpine:latest
-    init: /usr/libexec/docker-init
-```
+> The default init binary that is used is [Tini](https://github.com/krallin/tini),
+> and is installed in `/usr/libexec/docker-init` on the daemon host. You can
+> configure the daemon to use a custom init binary through the
+> [`init-path` configuration option](/engine/reference/commandline/dockerd/#daemon-configuration-file).
 
 ### isolation