diff --git a/src/torchjd/aggregation/_weighting_bases.py b/src/torchjd/aggregation/_weighting_bases.py
index 4a73178d..e610ce58 100644
--- a/src/torchjd/aggregation/_weighting_bases.py
+++ b/src/torchjd/aggregation/_weighting_bases.py
@@ -8,9 +8,9 @@
 
 from torchjd._linalg import PSDTensor, is_psd_tensor
 
-_T = TypeVar("_T", contravariant=True)
-_FnInputT = TypeVar("_FnInputT")
-_FnOutputT = TypeVar("_FnOutputT")
+_T = TypeVar("_T", contravariant=True, bound=Tensor)
+_FnInputT = TypeVar("_FnInputT", bound=Tensor)
+_FnOutputT = TypeVar("_FnOutputT", bound=Tensor)
 
 
 class Weighting(Generic[_T], nn.Module, ABC):
@@ -27,9 +27,11 @@ def __init__(self):
     def forward(self, stat: _T) -> Tensor:
         """Computes the vector of weights from the input stat."""
 
-    def __call__(self, stat: _T) -> Tensor:
+    def __call__(self, stat: Tensor) -> Tensor:
         """Computes the vector of weights from the input stat and applies all registered hooks."""
 
+        # The value of _T (e.g. PSDMatrix) is not public, so we need the user-facing type hint of
+        # stat to be Tensor.
         return super().__call__(stat)
 
     def _compose(self, fn: Callable[[_FnInputT], _T]) -> Weighting[_FnInputT]: