diff --git a/changes/3401-uriyyo.md b/changes/3401-uriyyo.md
new file mode 100644
index 0000000..7b46117
--- /dev/null
+++ b/changes/3401-uriyyo.md
@@ -0,0 +1 @@
+Fix issue when pydantic fail to parse `typing.ClassVar` string type annotation.
\ No newline at end of file
diff --git a/pydantic/typing.py b/pydantic/typing.py
index 156db0b..5797432 100644
--- a/pydantic/typing.py
+++ b/pydantic/typing.py
@@ -332,7 +332,9 @@ def resolve_annotations(raw_annotations: Dict[str, Type[Any]], module_name: Opti
     annotations = {}
     for name, value in raw_annotations.items():
         if isinstance(value, str):
-            if sys.version_info >= (3, 7):
+            if (3, 10) > sys.version_info >= (3, 9, 8) or sys.version_info >= (3, 10, 1):
+                value = ForwardRef(value, is_argument=False, is_class=True)
+            elif sys.version_info >= (3, 7):
                 value = ForwardRef(value, is_argument=False)
             else:
                 value = ForwardRef(value)
diff --git a/tests/test_forward_ref.py b/tests/test_forward_ref.py
index 95595fc..692a33d 100644
--- a/tests/test_forward_ref.py
+++ b/tests/test_forward_ref.py
@@ -519,3 +519,20 @@ def test_nested_forward_ref():
     NestedTuple.update_forward_refs()
     obj = NestedTuple.parse_obj({'x': ('1', {'x': ('2', {'x': ('3', None)})})})
     assert obj.dict() == {'x': (1, {'x': (2, {'x': (3, None)})})}
+
+
+@skip_pre_37
+def test_class_var_as_string(create_module):
+    module = create_module(
+        # language=Python
+        """
+from __future__ import annotations
+from typing import ClassVar
+from pydantic import BaseModel
+
+class Model(BaseModel):
+    a: ClassVar[int]
+"""
+    )
+
+    assert module.Model.__class_vars__ == {'a'}