diff --git a/contrib/completion/bash/docker b/contrib/completion/bash/docker
index c9bb34ed7f..695a7ccfdd 100644
--- a/contrib/completion/bash/docker
+++ b/contrib/completion/bash/docker
@@ -3066,6 +3066,7 @@ _docker_service_update_and_create() {
 		--rollback-failure-action
 		--rollback-max-failure-ratio
 		--rollback-monitor
+		--rollback-order
 		--rollback-parallelism
 		--stop-grace-period
 		--stop-signal
@@ -3073,6 +3074,7 @@ _docker_service_update_and_create() {
 		--update-failure-action
 		--update-max-failure-ratio
 		--update-monitor
+		--update-order
 		--update-parallelism
 		--user -u
 		--workdir -w
@@ -3247,6 +3249,10 @@ _docker_service_update_and_create() {
 			COMPREPLY=( $( compgen -W "continue pause rollback" -- "$cur" ) )
 			return
 			;;
+		--update-order|--rollback-order)
+			COMPREPLY=( $( compgen -W "start-first stop-first" -- "$cur" ) )
+			return
+			;;
 		--user|-u)
 			__docker_complete_user_group
 			return