diff --git a/contrib/completion/zsh/_docker-compose b/contrib/completion/zsh/_docker-compose
index b40d440f9..c18041ba6 100644
--- a/contrib/completion/zsh/_docker-compose
+++ b/contrib/completion/zsh/_docker-compose
@@ -194,6 +194,7 @@ __docker-compose_subcommand() {
         (build)
             _arguments \
                 $opts_help \
+                "*--build-arg=[Set build-time variables for one service.]:<varname>=<value>: " \
                 '--force-rm[Always remove intermediate containers.]' \
                 '--no-cache[Do not use cache when building the image.]' \
                 '--pull[Always attempt to pull a newer version of the image.]' \