diff --git a/Makefile b/Makefile
index 6561fee..d7eb14f 100644
--- a/Makefile
+++ b/Makefile
@@ -17,8 +17,8 @@ ${docker_src}/built/%.sentinel: ${docker_src}/%.dockerfile
 
 # Exceptions to this rule are listed below, but should handle the rule
 # the same ways.
-${docker_src}/built/debian_10.sentinel:
-	docker pull "debian:10" && touch $@;
+${docker_src}/built/debian_%.sentinel:
+	docker pull "debian:$*" && touch $@;
 
 # For example, the main openwrt builder container is built specific to
 # a remote and a commit. [Basing this container on a main