diff --git a/docs/reference/universe/docker/compose.md b/docs/reference/universe/docker/compose.md
index 3cec19a8..2a74308c 100644
--- a/docs/reference/universe/docker/compose.md
+++ b/docs/reference/universe/docker/compose.md
@@ -14,12 +14,14 @@ import "alpha.dagger.io/docker/compose"
 
 ### compose.#App Inputs
 
-| Name                             | Type              | Description                           |
-| -------------                    |:-------------:    |:-------------:                        |
-|*registries*                      | `[]`              |Image registries                       |
-|*run.command*                     | `"""\n            if [ -n "$DOCKER_HOSTNAME" ]; then\n    \tssh -i /key -fNT -o "StreamLocalBindUnlink=yes" -L "$(pwd)"/docker.sock:/var/run/docker.sock -p "$DOCKER_PORT" "$DOCKER_USERNAME"@"$DOCKER_HOSTNAME"\n    \texport DOCKER_HOST="unix://$(pwd)/docker.sock"\n    fi\n    \n    # Extend session duration\n    echo "Host *\\nServerAliveInterval 240" \>\> "$HOME"/.ssh/config\n    chmod 600 "$HOME"/.ssh/config\n    \n    # Move compose\n    if [ -d "$SOURCE_DIR" ]; then\n    \tif [ -f docker-compose.yaml ]; then\n    \t\tcp docker-compose.yaml "$SOURCE_DIR"/docker-compose.yaml\n    \tfi\n    \tcd "$SOURCE_DIR"\n    fi\n    \n    docker-compose build\n    docker-compose up -d\n    """`    |Command to execute    |
-|*run.package."docker-compose"*    | `true`            |-                                      |
-|*run.registries*                  | `[]`              |Image registries                       |
+| Name                             | Type                     | Description                              |
+| -------------                    |:-------------:           |:-------------:                           |
+|*name*                            | `*"source" \| string`    |App name (use as COMPOSE_PROJECT_NAME)    |
+|*registries*                      | `[]`                     |Image registries                          |
+|*run.command*                     | `"""\n                   if [ -n "$DOCKER_HOSTNAME" ]; then\n       \tssh -i /key -fNT -o "StreamLocalBindUnlink=yes" -L "$(pwd)"/docker.sock:/var/run/docker.sock -p "$DOCKER_PORT" "$DOCKER_USERNAME"@"$DOCKER_HOSTNAME"\n    \texport DOCKER_HOST="unix://$(pwd)/docker.sock"\n    fi\n    \n    # Extend session duration\n    echo "Host *\\nServerAliveInterval 240" \>\> "$HOME"/.ssh/config\n    chmod 600 "$HOME"/.ssh/config\n    \n    # Move compose\n    if [ -d "$SOURCE_DIR" ]; then\n    \tif [ -f docker-compose.yaml ]; then\n    \t\tcp docker-compose.yaml "$SOURCE_DIR"/docker-compose.yaml\n    \tfi\n    \tcd "$SOURCE_DIR"\n    fi\n    \n    docker-compose build\n    docker-compose up -d\n    """`    |Command to execute    |
+|*run.env.COMPOSE_PROJECT_NAME*    | `*"source" \| string`    |-                                         |
+|*run.package."docker-compose"*    | `true`                   |-                                         |
+|*run.registries*                  | `[]`                     |Image registries                          |
 
 ### compose.#App Outputs
 
diff --git a/stdlib/docker/compose/compose.cue b/stdlib/docker/compose/compose.cue
index bff531aa..77067ec2 100644
--- a/stdlib/docker/compose/compose.cue
+++ b/stdlib/docker/compose/compose.cue
@@ -32,6 +32,9 @@ import (
 	source?:      dagger.#Artifact @dagger(input)
 	composeFile?: string           @dagger(input)
 
+	// App name (use as COMPOSE_PROJECT_NAME)
+	name: *"source" | string @dagger(input)
+
 	// Image registries
 	registries: [...{
 		target?:  string
@@ -74,6 +77,7 @@ import (
 		}
 		env: {
 			COMPOSE_HTTP_TIMEOUT: strconv.FormatInt(200, 10)
+			COMPOSE_PROJECT_NAME: name
 			if source != _|_ {
 				SOURCE_DIR: "source"
 			}
diff --git a/stdlib/docker/compose/tests/cleanup.cue b/stdlib/docker/compose/tests/cleanup.cue
index 58b8a59b..938abc88 100644
--- a/stdlib/docker/compose/tests/cleanup.cue
+++ b/stdlib/docker/compose/tests/cleanup.cue
@@ -11,6 +11,9 @@ import (
 	// docker-compose up context
 	context: dagger.#Artifact
 
+	// App name (use as COMPOSE_PROJECT_NAME)
+	name: *"source" | string
+
 	ssh: {
 		// ssh host
 		host: string @dagger(input)
@@ -68,9 +71,10 @@ import (
 				"/entrypoint.sh",
 			]
 			env: {
-				DOCKER_HOSTNAME: ssh.host
-				DOCKER_USERNAME: ssh.user
-				DOCKER_PORT:     strconv.FormatInt(ssh.port, 10)
+				DOCKER_HOSTNAME:      ssh.host
+				DOCKER_USERNAME:      ssh.user
+				DOCKER_PORT:          strconv.FormatInt(ssh.port, 10)
+				COMPOSE_PROJECT_NAME: name
 				if ssh.keyPassphrase != _|_ {
 					SSH_ASKPASS: "/get_passphrase"
 					DISPLAY:     "1"
diff --git a/stdlib/docker/compose/tests/compose.cue b/stdlib/docker/compose/tests/compose.cue
index 32d4caf5..f0df571b 100644
--- a/stdlib/docker/compose/tests/compose.cue
+++ b/stdlib/docker/compose/tests/compose.cue
@@ -3,6 +3,7 @@ package compose
 import (
 	"alpha.dagger.io/dagger"
 	"alpha.dagger.io/docker"
+	"alpha.dagger.io/random"
 )
 
 repo: dagger.#Artifact @dagger(input)
@@ -14,6 +15,10 @@ TestSSH: {
 }
 
 TestCompose: {
+	suffix: random.#String & {seed: "cmp"}
+
+	name: "compose_test_\(suffix.out)"
+
 	up: #App & {
 		ssh: {
 			key:  TestSSH.key
@@ -21,22 +26,28 @@ TestCompose: {
 			user: TestSSH.user
 		}
 		source: repo
+		"name": name
 	}
 
 	verify: docker.#Command & {
-		ssh: up.run.ssh
+		ssh:     up.run.ssh
 		command: #"""
-				docker container ls | grep "api" | grep "Up"
+				docker container ls | grep "\#(name)_api" | grep "Up"
 			"""#
 	}
 
 	cleanup: #CleanupCompose & {
 		context: up.run
+		"name":  name
 		ssh:     verify.ssh
 	}
 }
 
 TestInlineCompose: {
+	suffix: random.#String & {seed: "cmp-inline"}
+
+	name: "inline_test_\(suffix.out)"
+
 	up: #App & {
 		ssh: {
 			key:  TestSSH.key
@@ -44,6 +55,7 @@ TestInlineCompose: {
 			user: TestSSH.user
 		}
 		source: repo
+		"name": name
 		composeFile: #"""
 			version: "3"
 
@@ -54,22 +66,19 @@ TestInlineCompose: {
 			      PORT: 7000
 			    ports:
 			    - 7000:7000
-
-			networks:
-			  default:
-			    name: mix-context
 			"""#
 	}
 
 	verify: docker.#Command & {
-		ssh: up.run.ssh
+		ssh:     up.run.ssh
 		command: #"""
-				docker container ls | grep "api-mix" | grep "Up"
+				docker container ls | grep "\#(name)_api-mix" | grep "Up"
 			"""#
 	}
 
 	cleanup: #CleanupCompose & {
 		context: up.run
+		"name":  name
 		ssh:     verify.ssh
 	}
 }