diff --git a/pkg/compose/run.go b/pkg/compose/run.go
index 51590650cb8..d0284350f59 100644
--- a/pkg/compose/run.go
+++ b/pkg/compose/run.go
@@ -304,6 +304,9 @@ func (s *composeService) startDependencies(ctx context.Context, project *types.P
 		// passes "never" so an existing dependency is reused as-is
 		Recreate:             options.Recreate,
 		RecreateDependencies: options.RecreateDependencies,
+		// a recreated dependency keeps its anonymous volumes, as with `up`:
+		// run has no --renew-anon-volumes to opt out
+		Inherit: true,
 	})
 	if err != nil {
 		return err
diff --git a/pkg/e2e/compose_run_test.go b/pkg/e2e/compose_run_test.go
index 3012302e3c0..1bd9e4d3b73 100644
--- a/pkg/e2e/compose_run_test.go
+++ b/pkg/e2e/compose_run_test.go
@@ -112,6 +112,24 @@ func TestComposeRunNoRecreate(t *testing.T) {
 			ServiceState("dep", "running"))
 }
 
+func TestComposeRunInheritsAnonymousVolumes(t *testing.T) {
+	// A dependency whose config-hash diverged is recreated by run like by up,
+	// but run used to drop its anonymous volumes on the way: the new container
+	// got a fresh, empty volume, so a database dependency looked wiped. The
+	// marker is written from the test, not by the container itself, so a fresh
+	// volume cannot pass the check by writing it again.
+	NewScenario(t, "run must keep the anonymous volumes of a dependency it recreates, as up does").
+		Step("run creates and starts the dependency",
+			ComposeCmd("run", "task").WithEnv("TAG=one"),
+			ServiceState("dep", "running")).
+		Step("data lands in the dependency's anonymous volume",
+			ComposeCmd("exec", "dep", "sh", "-c", "echo kept > /data/marker")).
+		Step("a diverged dependency recreated by run still sees that data",
+			ComposeCmd("run", "task").WithEnv("TAG=two", "COMPOSE_IGNORE_ORPHANS=True"),
+			Recreated("dep"),
+			ExecOutputContains("dep", "cat /data/marker", "kept"))
+}
+
 func TestComposeRunNotRequiredDeps(t *testing.T) {
 	NewScenario(t, "run must skip a dependency marked required: false when its profile is inactive").
 		Step("run executes the service without materializing the optional dependency",
diff --git a/pkg/e2e/testdata/TestComposeRunInheritsAnonymousVolumes/compose.yaml b/pkg/e2e/testdata/TestComposeRunInheritsAnonymousVolumes/compose.yaml
new file mode 100644
index 00000000000..7800caad469
--- /dev/null
+++ b/pkg/e2e/testdata/TestComposeRunInheritsAnonymousVolumes/compose.yaml
@@ -0,0 +1,18 @@
+services:
+  task:
+    image: alpine
+    command: echo "task done"
+    depends_on:
+      - dep
+  dep:
+    image: alpine
+    init: true
+    command: sleep infinity
+    volumes:
+      # anonymous volume: no source, so it lives and dies with the container
+      # unless carried over on recreate
+      - /data
+    environment:
+      # divergence vector: changing TAG between invocations changes the
+      # config-hash of dep, which the default policy answers by recreating
+      TAG: ${TAG:-initial}