diff --git a/spec/API_specification/dataframe_api/column_object.py b/spec/API_specification/dataframe_api/column_object.py
index 1a965437..8667e6e0 100644
--- a/spec/API_specification/dataframe_api/column_object.py
+++ b/spec/API_specification/dataframe_api/column_object.py
@@ -695,8 +695,21 @@ def to_array_object(self, dtype: Any) -> Any:
 
         Parameters
         ----------
-        dtype : Any
+        dtype : DType
             The dtype of the array-API-compliant object to return.
+            Must be one of:
+
+            - Bool()
+            - Int8()
+            - Int16()
+            - Int32()
+            - Int64()
+            - UInt8()
+            - UInt16()
+            - UInt32()
+            - UInt64()
+            - Float32()
+            - Float64()
         
         Returns
         -------
diff --git a/spec/API_specification/dataframe_api/dataframe_object.py b/spec/API_specification/dataframe_api/dataframe_object.py
index e2a161d7..8a25a8c1 100644
--- a/spec/API_specification/dataframe_api/dataframe_object.py
+++ b/spec/API_specification/dataframe_api/dataframe_object.py
@@ -823,8 +823,21 @@ def to_array_object(self, dtype: Any) -> Any:
 
         Parameters
         ----------
-        dtype : Any
+        dtype : DType
             The dtype of the array-API-compliant object to return.
+            Must be one of:
+
+            - Bool()
+            - Int8()
+            - Int16()
+            - Int32()
+            - Int64()
+            - UInt8()
+            - UInt16()
+            - UInt32()
+            - UInt64()
+            - Float32()
+            - Float64()
         
         Returns
         -------