diff --git a/deepmd/pt/utils/env_mat_stat.py b/deepmd/pt/utils/env_mat_stat.py
index 3af03bda97..70b7228440 100644
--- a/deepmd/pt/utils/env_mat_stat.py
+++ b/deepmd/pt/utils/env_mat_stat.py
@@ -101,6 +101,14 @@ def iter(
             dtype=env.GLOBAL_PT_FLOAT_PRECISION,
             device=env.DEVICE,
         )
+        if self.last_dim == 4:
+            radial_only = False
+        elif self.last_dim == 1:
+            radial_only = True
+        else:
+            raise ValueError(
+                "last_dim should be 1 for raial-only or 4 for full descriptor."
+            )
         for system in data:
             coord, atype, box, natoms = (
                 system["coord"],
@@ -130,6 +138,7 @@ def iter(
                 self.descriptor.get_rcut(),
                 # TODO: export rcut_smth from DescriptorBlock
                 self.descriptor.rcut_smth,
+                radial_only,
             )
             # reshape to nframes * nloc at the atom level,
             # so nframes/mixed_type do not matter
diff --git a/source/tests/pt/model/test_descriptor_se_r.py b/source/tests/pt/model/test_descriptor_se_r.py
index c999f06863..5b8b6c9251 100644
--- a/source/tests/pt/model/test_descriptor_se_r.py
+++ b/source/tests/pt/model/test_descriptor_se_r.py
@@ -15,6 +15,9 @@
 from deepmd.pt.utils.env import (
     PRECISION_DICT,
 )
+from deepmd.pt.utils.env_mat_stat import (
+    EnvMatStatSe,
+)
 
 from .test_env_mat import (
     TestCaseSingleFrameWithNlist,
@@ -103,13 +106,61 @@ def test_consistency(
                     err_msg=err_msg,
                 )
 
+    def test_load_stat(self):
+        rng = np.random.default_rng()
+        _, _, nnei = self.nlist.shape
+        davg = rng.normal(size=(self.nt, nnei, 1))
+        dstd = rng.normal(size=(self.nt, nnei, 1))
+        dstd = 0.1 + np.abs(dstd)
+
+        for idt, prec in itertools.product(
+            [False, True],
+            ["float64", "float32"],
+        ):
+            dtype = PRECISION_DICT[prec]
+
+            # sea new impl
+            dd0 = DescrptSeR(
+                self.rcut,
+                self.rcut_smth,
+                self.sel,
+                precision=prec,
+                resnet_dt=idt,
+                old_impl=False,
+            )
+            dd0.mean = torch.tensor(davg, dtype=dtype, device=env.DEVICE)
+            dd0.dstd = torch.tensor(dstd, dtype=dtype, device=env.DEVICE)
+            dd1 = DescrptSeR.deserialize(dd0.serialize())
+            dd1.compute_input_stats(
+                [
+                    {
+                        "r0": None,
+                        "coord": torch.from_numpy(self.coord_ext)
+                        .reshape(-1, self.nall, 3)
+                        .to(env.DEVICE),
+                        "atype": torch.from_numpy(self.atype_ext).to(env.DEVICE),
+                        "box": None,
+                        "natoms": self.nall,
+                    }
+                ]
+            )
+
+            with self.assertRaises(ValueError) as cm:
+                ev = EnvMatStatSe(dd1)
+                ev.last_dim = 3
+                ev.load_or_compute_stats([])
+            self.assertEqual(
+                "last_dim should be 1 for raial-only or 4 for full descriptor.",
+                str(cm.exception),
+            )
+
     def test_jit(
         self,
     ):
         rng = np.random.default_rng()
         _, _, nnei = self.nlist.shape
-        davg = rng.normal(size=(self.nt, nnei, 4))
-        dstd = rng.normal(size=(self.nt, nnei, 4))
+        davg = rng.normal(size=(self.nt, nnei, 1))
+        dstd = rng.normal(size=(self.nt, nnei, 1))
         dstd = 0.1 + np.abs(dstd)
 
         for idt, prec in itertools.product(