diff --git a/src/libfetchers/fetchers.cc b/src/libfetchers/fetchers.cc
index 916e0a8e8..e158d914b 100644
--- a/src/libfetchers/fetchers.cc
+++ b/src/libfetchers/fetchers.cc
@@ -200,12 +200,17 @@ void Input::markChangedFile(
     return scheme->markChangedFile(*this, file, commitMsg);
 }
 
+std::string Input::getName() const
+{
+    return maybeGetStrAttr(attrs, "name").value_or("source");
+}
+
 StorePath Input::computeStorePath(Store & store) const
 {
     auto narHash = getNarHash();
     if (!narHash)
         throw Error("cannot compute store path for mutable input '%s'", to_string());
-    return store.makeFixedOutputPath(FileIngestionMethod::Recursive, *narHash, "source");
+    return store.makeFixedOutputPath(FileIngestionMethod::Recursive, *narHash, getName());
 }
 
 std::string Input::getType() const
diff --git a/src/libfetchers/fetchers.hh b/src/libfetchers/fetchers.hh
index a72cfafa4..c839cf23b 100644
--- a/src/libfetchers/fetchers.hh
+++ b/src/libfetchers/fetchers.hh
@@ -81,6 +81,8 @@ public:
         std::string_view file,
         std::optional<std::string> commitMsg) const;
 
+    std::string getName() const;
+
     StorePath computeStorePath(Store & store) const;
 
     // Convenience functions for common attributes.
diff --git a/src/libfetchers/git.cc b/src/libfetchers/git.cc
index d8e0dbe0a..bc1930138 100644
--- a/src/libfetchers/git.cc
+++ b/src/libfetchers/git.cc
@@ -60,7 +60,7 @@ struct GitInputScheme : InputScheme
         if (maybeGetStrAttr(attrs, "type") != "git") return {};
 
         for (auto & [name, value] : attrs)
-            if (name != "type" && name != "url" && name != "ref" && name != "rev" && name != "shallow" && name != "submodules" && name != "lastModified" && name != "revCount" && name != "narHash" && name != "allRefs")
+            if (name != "type" && name != "url" && name != "ref" && name != "rev" && name != "shallow" && name != "submodules" && name != "lastModified" && name != "revCount" && name != "narHash" && name != "allRefs" && name != "name")
                 throw Error("unsupported Git input attribute '%s'", name);
 
         parseURL(getStrAttr(attrs, "url"));
@@ -167,10 +167,10 @@ struct GitInputScheme : InputScheme
 
     std::pair<Tree, Input> fetch(ref<Store> store, const Input & _input) override
     {
-        auto name = "source";
-
         Input input(_input);
 
+        std::string name = input.getName();
+
         bool shallow = maybeGetBoolAttr(input.attrs, "shallow").value_or(false);
         bool submodules = maybeGetBoolAttr(input.attrs, "submodules").value_or(false);
         bool allRefs = maybeGetBoolAttr(input.attrs, "allRefs").value_or(false);
@@ -270,7 +270,7 @@ struct GitInputScheme : InputScheme
                     return files.count(file);
                 };
 
-                auto storePath = store->addToStore("source", actualUrl, FileIngestionMethod::Recursive, htSHA256, filter);
+                auto storePath = store->addToStore(input.getName(), actualUrl, FileIngestionMethod::Recursive, htSHA256, filter);
 
                 // FIXME: maybe we should use the timestamp of the last
                 // modified dirty file?
diff --git a/tests/fetchGit.sh b/tests/fetchGit.sh
index 88744ee7f..89294d8d2 100644
--- a/tests/fetchGit.sh
+++ b/tests/fetchGit.sh
@@ -189,3 +189,7 @@ path8=$(nix eval --impure --raw --expr "(builtins.fetchGit { url = \"file://$rep
 rev4=$(git -C $repo rev-parse HEAD)
 rev4_nix=$(nix eval --impure --raw --expr "(builtins.fetchGit { url = \"file://$repo\"; ref = \"HEAD\"; }).rev")
 [[ $rev4 = $rev4_nix ]]
+
+# The name argument should be handled
+path9=$(nix eval --impure --raw --expr "(builtins.fetchGit { url = \"file://$repo\"; ref = \"HEAD\"; name = \"foo\"; }).outPath")
+[[ $path9 =~ -foo$ ]]