diff --git a/src/hydra-queue-runner/build-remote.cc b/src/hydra-queue-runner/build-remote.cc
index 320f6d16..26d991ef 100644
--- a/src/hydra-queue-runner/build-remote.cc
+++ b/src/hydra-queue-runner/build-remote.cc
@@ -124,6 +124,38 @@ static void copyClosureTo(std::timed_mutex & sendMutex, ref<Store> destStore,
 }
 
 
+// FIXME: use Store::topoSortPaths().
+StorePaths topoSortPaths(const std::map<StorePath, ValidPathInfo> & paths)
+{
+    StorePaths sorted;
+    StorePathSet visited;
+
+    std::function<void(const StorePath & path)> dfsVisit;
+
+    dfsVisit = [&](const StorePath & path) {
+        if (!visited.insert(path).second) return;
+
+        auto info = paths.find(path);
+        auto references = info == paths.end() ? StorePathSet() : info->second.references;
+
+        for (auto & i : references)
+            /* Don't traverse into paths that don't exist.  That can
+               happen due to substitutes for non-existent paths. */
+            if (i != path && paths.count(i))
+                dfsVisit(i);
+
+        sorted.push_back(path);
+    };
+
+    for (auto & i : paths)
+        dfsVisit(i.first);
+
+    std::reverse(sorted.begin(), sorted.end());
+
+    return sorted;
+}
+
+
 void State::buildRemote(ref<Store> destStore,
     Machine::ptr machine, Step::ptr step,
     unsigned int maxSilentTime, unsigned int buildTimeout, unsigned int repeats,
@@ -148,6 +180,7 @@ void State::buildRemote(ref<Store> destStore,
 
         updateStep(ssConnecting);
 
+        // FIXME: rewrite to use Store.
         Child child;
         openConnection(machine, tmpDir, logFD.get(), child);
 
@@ -182,7 +215,7 @@ void State::buildRemote(ref<Store> destStore,
         unsigned int remoteVersion;
 
         try {
-            to << SERVE_MAGIC_1 << 0x203;
+            to << SERVE_MAGIC_1 << 0x204;
             to.flush();
 
             unsigned int magic = readInt(from);
@@ -405,17 +438,26 @@ void State::buildRemote(ref<Store> destStore,
 
             auto outputs = step->drv->outputPaths();
 
-            /* Query the size of the output paths. */
+            /* Get info about each output path. */
+            std::map<StorePath, ValidPathInfo> infos;
             size_t totalNarSize = 0;
             to << cmdQueryPathInfos;
             writeStorePaths(*localStore, to, outputs);
             to.flush();
             while (true) {
-                if (readString(from) == "") break;
+                auto storePathS = readString(from);
+                if (storePathS == "") break;
+                ValidPathInfo info(localStore->parseStorePath(storePathS));
+                assert(outputs.count(info.path));
                 readString(from); // deriver
-                readStrings<PathSet>(from); // references
+                info.references = readStorePaths<StorePathSet>(*localStore, from);
                 readLongLong(from); // download size
-                totalNarSize += readLongLong(from);
+                info.narSize = readLongLong(from);
+                totalNarSize += info.narSize;
+                info.narHash = Hash(readString(from), htSHA256);
+                info.ca = parseContentAddressOpt(readString(from));
+                readStrings<StringSet>(from); // sigs
+                infos.insert_or_assign(info.path, info);
             }
 
             if (totalNarSize > maxOutputSize) {
@@ -423,13 +465,18 @@ void State::buildRemote(ref<Store> destStore,
                 return;
             }
 
+            /* Copy each path. */
             printMsg(lvlDebug, "copying outputs of ‘%s’ from ‘%s’ (%d bytes)",
                 localStore->printStorePath(step->drvPath), machine->sshName, totalNarSize);
 
-            to << cmdExportPaths << 0;
-            writeStorePaths(*localStore, to, outputs);
-            to.flush();
-            destStore->importPaths(from, /* result.accessor, */ NoCheckSigs);
+            auto pathsSorted = topoSortPaths(infos);
+
+            for (auto & path : pathsSorted) {
+                auto & info = infos.find(path)->second;
+                to << cmdDumpStorePath << localStore->printStorePath(path);
+                to.flush();
+                destStore->addToStore(info, from);
+            }
 
             auto now2 = std::chrono::steady_clock::now();