diff --git a/contrib/completion/zsh/_docker b/contrib/completion/zsh/_docker
index 69e7dbd3fa..81c628ee79 100644
--- a/contrib/completion/zsh/_docker
+++ b/contrib/completion/zsh/_docker
@@ -1,4 +1,4 @@
-#compdef docker
+#compdef docker dockerd
 #
 # zsh completion for docker (http://docker.com)
 #
@@ -1410,6 +1410,13 @@ _docker() {
     return ret
 }
 
+_dockerd() {
+    integer ret=1
+    words[1]='daemon'
+    __docker_subcommand && ret=0
+    return ret
+}
+
 _docker "$@"
 
 # Local Variables: