diff --git a/mypy/constraints.py b/mypy/constraints.py
index 293618556203..5245a21826a9 100644
--- a/mypy/constraints.py
+++ b/mypy/constraints.py
@@ -273,9 +273,35 @@ def infer_constraints_for_callable(
     if any(isinstance(v, ParamSpecType) for v in callee.variables):
         # As a perf optimization filter imprecise constraints only when we can have them.
         constraints = filter_imprecise_kinds(constraints)
+
+    if any(isinstance(get_proper_type(c.target), TypedDictType) for c in constraints):
+        constraints = _omit_dict_constraints_if_typeddict_found(constraints)
     return constraints
 
 
+def _omit_dict_constraints_if_typeddict_found(constraints: list[Constraint]) -> list[Constraint]:
+    """If a type variable has any `TypedDict` constraints, exclude its `dict` constraints."""
+
+    # This allows inferring types generic in typeddicts when a literal *and* explicit type
+    # are present among arguments - see testInferLiteralTypedDict.
+    cmap: dict[TypeVarId, list[Constraint]] = {}
+    for con in constraints:
+        cmap.setdefault(con.type_var, []).append(con)
+    res = []
+    for group in cmap.values():
+        if not any(isinstance(get_proper_type(c.target), TypedDictType) for c in group):
+            res.extend(group)
+            continue
+        for c in group:
+            proper_target = get_proper_type(c.target)
+            if (
+                not isinstance(proper_target, Instance)
+                or proper_target.type.fullname != "builtins.dict"
+            ):
+                res.append(c)
+    return res
+
+
 def infer_constraints(
     template: Type, actual: Type, direction: int, skip_neg_op: bool = False
 ) -> list[Constraint]:
diff --git a/test-data/unit/check-inference.test b/test-data/unit/check-inference.test
index b563eef0f8aa..b1ebb777d906 100644
--- a/test-data/unit/check-inference.test
+++ b/test-data/unit/check-inference.test
@@ -4149,3 +4149,27 @@ class Foo:
         else:
             self.qux = {}  # E: Need type annotation for "qux" (hint: "qux: dict[<type>, <type>] = ...")
 [builtins fixtures/dict.pyi]
+
+[case testInferLiteralTypedDict]
+from typing import Generic, TypeVar, TypedDict
+
+T = TypeVar("T")
+
+class D(TypedDict):
+    x: int
+
+class A(Generic[T]): ...
+
+
+def f(a: A[T], t: T) -> T: ...
+def g(a: T, t: A[T]) -> T: ...
+
+def check(obj: A[D]) -> None:
+    reveal_type(f(obj, {"x": 1}))  # N: Revealed type is "TypedDict('__main__.D', {'x': builtins.int})"
+    reveal_type(f(obj, {"x": ''}))  # N: Revealed type is "TypedDict('__main__.D', {'x': builtins.int})" \
+                                    # E: Incompatible types (expression has type "str", TypedDict item "x" has type "int")
+    reveal_type(g({"x": 1}, obj))  # N: Revealed type is "TypedDict('__main__.D', {'x': builtins.int})"
+    reveal_type(g({"x": ''}, obj))  # N: Revealed type is "TypedDict('__main__.D', {'x': builtins.int})" \
+                                    # E: Incompatible types (expression has type "str", TypedDict item "x" has type "int")
+[builtins fixtures/dict.pyi]
+[typing fixtures/typing-typeddict.pyi]