diff --git a/contrib/completion/bash/docker b/contrib/completion/bash/docker
index 5083e19449..ff6c4e0488 100644
--- a/contrib/completion/bash/docker
+++ b/contrib/completion/bash/docker
@@ -835,7 +835,7 @@ __docker_complete_log_options() {
 	# awslogs does not implement the $common_options2.
 	local awslogs_options="$common_options1 awslogs-create-group awslogs-credentials-endpoint awslogs-datetime-format awslogs-group awslogs-multiline-pattern awslogs-region awslogs-stream tag"
 
-	local fluentd_options="$common_options1 $common_options2 fluentd-address fluentd-async-connect fluentd-buffer-limit fluentd-retry-wait fluentd-max-retries tag"
+	local fluentd_options="$common_options1 $common_options2 fluentd-address fluentd-async-connect fluentd-buffer-limit fluentd-retry-wait fluentd-max-retries fluentd-sub-second-precision tag"
 	local gcplogs_options="$common_options1 $common_options2 gcp-log-cmd gcp-meta-id gcp-meta-name gcp-meta-zone gcp-project"
 	local gelf_options="$common_options1 $common_options2 gelf-address gelf-compression-level gelf-compression-type gelf-tcp-max-reconnect gelf-tcp-reconnect-delay tag"
 	local journald_options="$common_options1 $common_options2 tag"
@@ -901,6 +901,10 @@ __docker_complete_log_driver_options() {
 			COMPREPLY=( $( compgen -W "false true" -- "${cur##*=}" ) )
 			return
 			;;
+		fluentd-sub-second-precision)
+			COMPREPLY=( $( compgen -W "false true" -- "${cur##*=}" ) )
+			return
+			;;
 		gelf-address)
 			COMPREPLY=( $( compgen -W "tcp udp" -S "://" -- "${cur##*=}" ) )
 			__docker_nospace
diff --git a/contrib/completion/zsh/_docker b/contrib/completion/zsh/_docker
index b25dc7b197..309db74ff6 100644
--- a/contrib/completion/zsh/_docker
+++ b/contrib/completion/zsh/_docker
@@ -226,7 +226,7 @@ __docker_get_log_options() {
     common_options=("max-buffer-size" "mode")
     common_options2=("env" "env-regex" "labels")
     awslogs_options=($common_options "awslogs-create-group" "awslogs-datetime-format" "awslogs-group" "awslogs-multiline-pattern" "awslogs-region" "awslogs-stream" "tag")
-    fluentd_options=($common_options $common_options2 "fluentd-address" "fluentd-async-connect" "fluentd-buffer-limit" "fluentd-retry-wait" "fluentd-max-retries" "tag")
+    fluentd_options=($common_options $common_options2 "fluentd-address" "fluentd-async-connect" "fluentd-buffer-limit" "fluentd-retry-wait" "fluentd-max-retries" "fluentd-sub-second-precision" "tag")
     gcplogs_options=($common_options $common_options2 "gcp-log-cmd" "gcp-meta-id" "gcp-meta-name" "gcp-meta-zone" "gcp-project")
     gelf_options=($common_options $common_options2 "gelf-address" "gelf-compression-level" "gelf-compression-type" "tag")
     journald_options=($common_options $common_options2 "tag")