diff --git a/mypy/solve.py b/mypy/solve.py
index e3709106996c..8ca0a5e7256b 100644
--- a/mypy/solve.py
+++ b/mypy/solve.py
@@ -9,7 +9,7 @@
 from mypy.constraints import SUBTYPE_OF, SUPERTYPE_OF, Constraint, infer_constraints, neg_op
 from mypy.expandtype import expand_type
 from mypy.graph_utils import prepare_sccs, strongly_connected_components, topsort
-from mypy.join import join_type_list
+from mypy.join import is_similar_params, join_type_list
 from mypy.meet import meet_type_list, meet_types
 from mypy.subtypes import is_subtype
 from mypy.typeops import get_all_type_vars
@@ -17,6 +17,7 @@
     AnyType,
     Instance,
     NoneType,
+    Parameters,
     ParamSpecType,
     ProperType,
     TupleType,
@@ -256,6 +257,13 @@ def _join_sorted_key(t: Type) -> int:
     return 0
 
 
+def _precise_parameter_constraint_target(target: Type) -> Parameters | None:
+    target = get_proper_type(target)
+    if isinstance(target, Parameters) and not target.imprecise_arg_kinds:
+        return target
+    return None
+
+
 def solve_one(lowers: Iterable[Type], uppers: Iterable[Type]) -> Type | None:
     """Solve constraints by finding by using meets of upper bounds, and joins of lower bounds."""
 
@@ -288,6 +296,18 @@ def solve_one(lowers: Iterable[Type], uppers: Iterable[Type]) -> Type | None:
         # Retain `None` when no bottoms were provided to avoid bogus `Never` inference.
         bottom = UnionType.make_union(lowers)
     else:
+        # Joining incompatible concrete ParamSpec lower bounds falls back to Any,
+        # but for precise call signatures this would silently erase the conflict.
+        precise_param_lowers = [
+            lower
+            for lower in (_precise_parameter_constraint_target(lower) for lower in lowers)
+            if lower is not None
+        ]
+        if precise_param_lowers and not all(
+            is_similar_params(precise_param_lowers[0], lower) for lower in precise_param_lowers[1:]
+        ):
+            return None
+
         # The order of lowers is non-deterministic.
         # We attempt to sort lowers because joins are non-associative. For instance:
         # join(join(int, str), int | str) == join(object, int | str) == object
diff --git a/test-data/unit/check-parameter-specification.test b/test-data/unit/check-parameter-specification.test
index 970ba45d0e8e..a9140a9c04b3 100644
--- a/test-data/unit/check-parameter-specification.test
+++ b/test-data/unit/check-parameter-specification.test
@@ -2556,6 +2556,42 @@ def fn(f: MiddlewareFactory[P]) -> Capture[P]: ...
 reveal_type(fn(ServerErrorMiddleware))  # N: Revealed type is "__main__.Capture[[handler: builtins.str | None =, debug: builtins.bool =]]"
 [builtins fixtures/paramspec.pyi]
 
+[case testParamSpecProtocolInferenceRejectsConflictingMembers]
+from typing import Generic, Protocol, TypeVar
+from typing_extensions import ParamSpec
+
+P = ParamSpec("P")
+T = TypeVar("T")
+
+class Context: pass
+
+class Namer(Protocol[P]):
+    def name_for(self, *args: P.args, **kwargs: P.kwargs) -> str: ...
+    def execute_on(self, ctx: Context, *args: P.args, **kwargs: P.kwargs) -> None: ...
+
+class Impl0:
+    def name_for(self, x: int, y: str) -> str: ...
+    def execute_on(self, ctx: Context, x: int, y: str) -> None: ...
+
+class Impl1:
+    def name_for(self, y: str) -> str: ...
+    def execute_on(self, ctx: Context, x: int, y: str) -> None: ...
+
+class UseImplFirst(Generic[P, T]):
+    def __init__(self, impl: T, *args: P.args, **kwargs: P.kwargs) -> None: ...
+    def __call__(self: "UseImplFirst[P, Namer[P]]") -> None: ...
+
+def use_impl_second(impl: Namer[P], *args: P.args, **kwargs: P.kwargs) -> None: ...
+def use_impl_third(wrapper: UseImplFirst[P, Namer[P]]) -> None: ...
+
+ok: Namer[[int, str]] = Impl0()
+use_impl_second(Impl0(), 0, "0")
+use_impl_third(UseImplFirst(Impl0(), 0, "0"))
+
+use_impl_second(Impl1(), 1, "1")  # E: Cannot infer value of type parameter "P" of "use_impl_second"
+use_impl_third(UseImplFirst(Impl1(), 1, "1"))  # E: Cannot infer value of type parameter "P" of "use_impl_third"
+[builtins fixtures/paramspec.pyi]
+
 [case testRunParamSpecDuplicateArgsKwargs]
 from typing_extensions import ParamSpec, Concatenate
 from typing import Callable, Union