Better with this additional patch:

diff --git a/gnu/services/docker.scm b/gnu/services/docker.scm
index e592185f8..19d7e598f 100644
--- a/gnu/services/docker.scm
+++ b/gnu/services/docker.scm
@@ -72,7 +72,10 @@
            (provision '(dockerd))
            (requirement '(containerd))
            (start #~(make-forkexec-constructor
-                     (list (string-append #$docker "/bin/dockerd"))))
+                     (list (string-append #$docker "/bin/dockerd")
+                           "-p" "/var/run/docker.pid")
+                     #:pid-file "/var/run/docker.pid"
+                     #:log-file "/var/log/docker.log"))
            (stop #~(make-kill-destructor)))))
 
 (define docker-service-type