diff --git a/flake.nix b/flake.nix
index 415bd42..088e08d 100644
--- a/flake.nix
+++ b/flake.nix
@@ -32,23 +32,10 @@
             mv dist $out
           '';
         };
-
-        container = pkgs.dockerTools.buildImage {
-          name = "angestoepselt-site";
-          tag = "latest";
-
-          config = {
-            Cmd = [
-              "${pkgs.caddy}/bin/caddy"
-              "file-server"
-              "-root" "${site}"
-            ];
-          };
-        };
       in
       rec {
         packages = {
-          inherit site container;
+          inherit site;
 
           # This package isn't actually the fully-built site, but rather a
           # derivation that contains the relevant programs (with correctly set up
@@ -90,7 +77,25 @@
         devShell = packages.devEnv;
 
         hydraJobs = {
-          container = packages.container;
+          inherit site;
+
+          container = { site }: let
+            container = pkgs.dockerTools.buildImage {
+              name = "angestoepselt-site-container";
+              tag = "latest";
+
+              config = {
+                Cmd = [
+                  "${pkgs.caddy}/bin/caddy"
+                  "file-server"
+                  "-root" "${site}"
+                ];
+              };
+            };
+          in pkgs.runCommand "container" {} ''
+            mkdir -p $out/nix-support
+            echo "file none ${container}" > $out/nix-support/hydra-build-products
+          '';
         };
       });
     in (base // {