diff --git a/pandas/core/algorithms.py b/pandas/core/algorithms.py
index e55ddbcc783d0..2b0d3f5aa8862 100644
--- a/pandas/core/algorithms.py
+++ b/pandas/core/algorithms.py
@@ -1660,18 +1660,6 @@ def take(arr, indices, axis: int = 0, allow_fill: bool = False, fill_value=None)
     return result
 
 
-# TODO: can we de-duplicate with something in dtypes.missing?
-def _get_default_fill_value(dtype, fill_value):
-    if fill_value is lib.no_default:
-        if is_extension_array_dtype(dtype):
-            fill_value = dtype.na_value
-        elif dtype.kind in ["m", "M"]:
-            fill_value = dtype.type("NaT")
-        else:
-            fill_value = np.nan
-    return fill_value
-
-
 def take_nd(
     arr,
     indexer,
@@ -1713,7 +1701,8 @@ def take_nd(
     """
     mask_info = None
 
-    fill_value = _get_default_fill_value(arr.dtype, fill_value)
+    if fill_value is lib.no_default:
+        fill_value = na_value_for_dtype(arr.dtype, compat=False)
 
     if isinstance(arr, ABCExtensionArray):
         # Check for EA to catch DatetimeArray, TimedeltaArray
diff --git a/pandas/core/nanops.py b/pandas/core/nanops.py
index 8d3363df0d132..4af1084033ce2 100644
--- a/pandas/core/nanops.py
+++ b/pandas/core/nanops.py
@@ -417,8 +417,6 @@ def _na_for_min_count(
     if is_numeric_dtype(values):
         values = values.astype("float64")
     fill_value = na_value_for_dtype(values.dtype)
-    if fill_value is NaT:
-        fill_value = values.dtype.type("NaT", "ns")
 
     if values.ndim == 1:
         return fill_value