diff --git a/news/9100.feature.rst b/news/9100.feature.rst
new file mode 100644
index 000000000..eb6c72839
--- /dev/null
+++ b/news/9100.feature.rst
@@ -0,0 +1 @@
+The new resolver now resolves packages in a deterministic order.
diff --git a/src/pip/_internal/resolution/resolvelib/provider.py b/src/pip/_internal/resolution/resolvelib/provider.py
index 7f7d0e154..c0e6b60d9 100644
--- a/src/pip/_internal/resolution/resolvelib/provider.py
+++ b/src/pip/_internal/resolution/resolvelib/provider.py
@@ -57,7 +57,8 @@ class PipProvider(AbstractProvider):
     ):
         # type: (...) -> Any
         transitive = all(parent is not None for _, parent in information)
-        return (transitive, bool(candidates))
+        key = next(iter(candidates)).name if candidates else ""
+        return (transitive, key)
 
     def find_matches(self, requirements):
         # type: (Sequence[Requirement]) -> Iterable[Candidate]