diff --git a/completions/insmod b/completions/insmod
index a59e75355b0..2f756a99ca8 100644
--- a/completions/insmod
+++ b/completions/insmod
@@ -7,7 +7,7 @@ _insmod()
 
     # do filename completion for first argument
     if ((cword == 1)); then
-        _filedir '@(?(k)o?(.[gx]z))'
+        _filedir '@(?(k)o?(.[gx]z|.zst))'
     else # do module parameter completion
         COMPREPLY=($(compgen -W "$(PATH="$PATH:/sbin" modinfo \
             -p ${words[1]} 2>/dev/null | cut -d: -f1)" -- "$cur"))
diff --git a/completions/modinfo b/completions/modinfo
index b2809144675..4d4d835c4ab 100644
--- a/completions/modinfo
+++ b/completions/modinfo
@@ -43,7 +43,7 @@ _modinfo()
 
     # do filename completion if we're giving a path to a module
     if [[ $cur == @(*/|[.~])* ]]; then
-        _filedir '@(?(k)o?(.[gx]z))'
+        _filedir '@(?(k)o?(.[gx]z|.zst))'
     else
         _modules $version
     fi
diff --git a/completions/modprobe b/completions/modprobe
index 958cd9389ad..799ea197453 100644
--- a/completions/modprobe
+++ b/completions/modprobe
@@ -80,7 +80,7 @@ _modprobe()
         insert)
             # do filename completion if we're giving a path to a module
             if [[ $cur == @(*/|[.~])* ]]; then
-                _filedir '@(?(k)o?(.[gx]z))'
+                _filedir '@(?(k)o?(.[gx]z|.zst))'
             elif [[ -n $module ]]; then
                 # do module parameter completion
                 if [[ $cur == *=* ]]; then