diff --git a/monai/data/utils.py b/monai/data/utils.py
index cf426d4c3e..c424d53e29 100644
--- a/monai/data/utils.py
+++ b/monai/data/utils.py
@@ -670,6 +670,11 @@ def set_rnd(obj, seed: int) -> int:
         obj: object to set seed or random state for.
         seed: set the random state with an integer seed.
     """
+    if isinstance(obj, (tuple, list)):  # ZipDataset.data is a list
+        _seed = seed
+        for item in obj:
+            _seed = set_rnd(item, seed=seed)
+        return seed if _seed == seed else seed + 1  # return a different seed if there are randomizable items
     if not hasattr(obj, "__dict__"):
         return seed  # no attribute
     if hasattr(obj, "set_random_state"):
diff --git a/tests/test_dataloader.py b/tests/test_dataloader.py
index 79126b2dbb..88fd585a32 100644
--- a/tests/test_dataloader.py
+++ b/tests/test_dataloader.py
@@ -16,9 +16,10 @@
 import torch
 from parameterized import parameterized
 
-from monai.data import CacheDataset, DataLoader, Dataset
+from monai.data import CacheDataset, DataLoader, Dataset, ZipDataset
 from monai.transforms import Compose, DataStatsd, Randomizable, SimulateDelayd
-from monai.utils import set_determinism
+from monai.utils import convert_to_numpy, set_determinism
+from tests.utils import assert_allclose
 
 TEST_CASE_1 = [[{"image": np.asarray([1, 2, 3])}, {"image": np.asarray([4, 5])}]]
 
@@ -83,6 +84,15 @@ def test_randomize(self):
                 output.extend(batch.data.numpy().flatten().tolist())
         self.assertListEqual(output, [594, 170, 524, 778, 370, 906, 292, 589, 762, 763, 156, 886, 42, 405, 221, 166])
 
+    def test_zipdataset(self):
+        dataset = ZipDataset([_RandomDataset(), ZipDataset([_RandomDataset(), _RandomDataset()])])
+        dataloader = DataLoader(dataset, batch_size=2, num_workers=2)
+        output = []
+        for _ in range(2):
+            for batch in dataloader:
+                output.extend([convert_to_numpy(batch, wrap_sequence=False)])
+        assert_allclose(np.stack(output).flatten()[:7], np.array([594, 170, 594, 170, 594, 170, 524]))
+
 
 if __name__ == "__main__":
     unittest.main()