diff --git a/contrib/completion/fish/docker.fish b/contrib/completion/fish/docker.fish
index efee52f806..d3237588ef 100644
--- a/contrib/completion/fish/docker.fish
+++ b/contrib/completion/fish/docker.fish
@@ -16,7 +16,7 @@
 
 function __fish_docker_no_subcommand --description 'Test if docker has yet to be given the subcommand'
     for i in (commandline -opc)
-        if contains -- $i attach build commit cp create diff events exec export history images import info insert inspect kill load login logout logs pause port ps pull push restart rm rmi run save search start stop tag top unpause version wait
+        if contains -- $i attach build commit cp create diff events exec export history images import info inspect kill load login logout logs pause port ps pull push rename restart rm rmi run save search start stop tag top unpause version wait
             return 1
         end
     end
diff --git a/contrib/completion/zsh/_docker b/contrib/completion/zsh/_docker
index 3215814313..28398f7524 100644
--- a/contrib/completion/zsh/_docker
+++ b/contrib/completion/zsh/_docker
@@ -270,11 +270,6 @@ __docker_subcommand () {
                 {-q,--quiet}'[Only show numeric IDs]' \
                 ':repository:__docker_repositories'
             ;;
-        (inspect)
-            _arguments \
-                {-f,--format=-}'[Format the output using the given go template]:template: ' \
-                '*:containers:__docker_containers'
-            ;;
         (import)
             _arguments \
                 ':URL:(- http:// file://)' \
@@ -282,15 +277,10 @@ __docker_subcommand () {
             ;;
         (info)
             ;;
-        (import)
+        (inspect)
             _arguments \
-                ':URL:(- http:// file://)' \
-                ':repository:__docker_repositories_with_tags'
-            ;;
-        (insert)
-            _arguments '1:containers:__docker_containers' \
-                       '2:URL:(http:// file://)' \
-                       '3:file:_files'
+                {-f,--format=-}'[Format the output using the given go template]:template: ' \
+                '*:containers:__docker_containers'
             ;;
         (kill)
             _arguments \