diff --git a/src/awkward/_nplikes/typetracer.py b/src/awkward/_nplikes/typetracer.py
index 728f8ed0c6..867b6d7bdf 100644
--- a/src/awkward/_nplikes/typetracer.py
+++ b/src/awkward/_nplikes/typetracer.py
@@ -502,19 +502,19 @@ def __dlpack__(self, stream: Any = None) -> Any:
         raise RuntimeError("cannot realise an unknown value")
 
 
-def _scalar_type_of(obj) -> numpy.dtype:
+def _scalar_type_of(obj) -> DType:
     if is_unknown_scalar(obj):
         return obj.dtype
     else:
         return numpy.obj2sctype(obj)
 
 
-def try_touch_data(array):
+def try_touch_data(array: Any):
     if isinstance(array, TypeTracerArray):
         array.touch_data()
 
 
-def try_touch_shape(array):
+def try_touch_shape(array: Any):
     if isinstance(array, TypeTracerArray):
         array.touch_shape()