diff --git a/swh/storage/tests/storage_data.py b/swh/storage/tests/storage_data.py
--- a/swh/storage/tests/storage_data.py
+++ b/swh/storage/tests/storage_data.py
@@ -317,6 +317,32 @@
     )
     git_revisions: Tuple[Revision, ...] = (revision, revision2, revision3, revision4)
 
+    old_revision = Revision(
+        message=None,
+        author=Person(fullname=b"", name=None, email=None),
+        committer=Person(fullname=b"", name=None, email=None),
+        date=TimestampWithTimezone(
+            timestamp=Timestamp(seconds=-1855958962, microseconds=0),
+            offset=0,
+            negative_utc=False,
+            offset_bytes=b"+0000",
+        ),
+        committer_date=TimestampWithTimezone(
+            timestamp=Timestamp(seconds=0, microseconds=0),
+            offset=0,
+            negative_utc=False,
+            offset_bytes=b"+0000",
+        ),
+        type=RevisionType.GIT,
+        directory=hash_to_bytes("0000000000000000000000000000000000000000"),
+        synthetic=False,
+        metadata=None,
+        parents=(b"\x00" * 20,),
+        id=hash_to_bytes("1cfdff56457e2f1a86f53d8310e2e2bd92ad066c"),
+        extra_headers=(),
+        raw_manifest=None,
+    )
+
     hg_revision = Revision(
         id=hash_to_bytes("951c9503541e7beaf002d7aebf2abd1629084c68"),
         message=b"hello",
diff --git a/swh/storage/tests/storage_tests.py b/swh/storage/tests/storage_tests.py
--- a/swh/storage/tests/storage_tests.py
+++ b/swh/storage/tests/storage_tests.py
@@ -1017,6 +1017,23 @@
             ("revision", revision2),
         ]
 
+    def test_revision_add_old(self, swh_storage, sample_data):
+        revision = sample_data.old_revision
+        init_missing = swh_storage.revision_missing([revision.id])
+        assert list(init_missing) == [revision.id]
+
+        actual_result = swh_storage.revision_add([revision])
+        assert actual_result == {"revision:add": 1}
+
+        end_missing = swh_storage.revision_missing([revision.id])
+        assert list(end_missing) == []
+
+        assert list(swh_storage.journal_writer.journal.objects) == [
+            ("revision", revision)
+        ]
+
+        assert swh_storage.revision_get([revision.id])[0] == revision
+
     def test_revision_add_name_clash(self, swh_storage, sample_data):
         revision, revision2 = sample_data.revisions[:2]
 
diff --git a/swh/storage/tests/test_postgresql.py b/swh/storage/tests/test_postgresql.py
--- a/swh/storage/tests/test_postgresql.py
+++ b/swh/storage/tests/test_postgresql.py
@@ -31,6 +31,13 @@
     def test_directory_get_entries_pagination(self):
         pass
 
+    @pytest.mark.xfail(
+        raises=AssertionError,
+        reason="PostgreSQL loses precision on very old timestamps.",
+    )
+    def test_revision_add_old(self, swh_storage, sample_data):
+        super().test_revision_add_old(swh_storage, sample_data)
+
 
 @pytest.mark.db
 class TestLocalStorage: