diff --git a/pandas/tests/arrays/test_datetimelike.py b/pandas/tests/arrays/test_datetimelike.py
index 3f1739deb4175..5aa20bedc4a48 100644
--- a/pandas/tests/arrays/test_datetimelike.py
+++ b/pandas/tests/arrays/test_datetimelike.py
@@ -168,7 +168,7 @@ def test_take(self):
 
         tm.assert_index_equal(self.index_cls(result), expected)
 
-    @pytest.mark.parametrize("fill_value", [2, 2.0, Timestamp.now().time])
+    @pytest.mark.parametrize("fill_value", [2, 2.0, Timestamp(2021, 1, 1, 12).time])
     def test_take_fill_raises(self, fill_value):
         data = np.arange(10, dtype="i8") * 24 * 3600 * 10 ** 9
 
@@ -842,26 +842,27 @@ def test_int_properties(self, arr1d, propname):
     def test_take_fill_valid(self, arr1d):
         arr = arr1d
         dti = self.index_cls(arr1d)
+        dt_ind = Timestamp(2021, 1, 1, 12)
+        dt_ind_tz = dt_ind.tz_localize(dti.tz)
 
-        now = Timestamp.now().tz_localize(dti.tz)
-        result = arr.take([-1, 1], allow_fill=True, fill_value=now)
-        assert result[0] == now
+        result = arr.take([-1, 1], allow_fill=True, fill_value=dt_ind_tz)
+        assert result[0] == dt_ind_tz
 
         msg = f"value should be a '{arr1d._scalar_type.__name__}' or 'NaT'. Got"
         with pytest.raises(TypeError, match=msg):
             # fill_value Timedelta invalid
-            arr.take([-1, 1], allow_fill=True, fill_value=now - now)
+            arr.take([-1, 1], allow_fill=True, fill_value=dt_ind_tz - dt_ind_tz)
 
         with pytest.raises(TypeError, match=msg):
             # fill_value Period invalid
             arr.take([-1, 1], allow_fill=True, fill_value=Period("2014Q1"))
 
         tz = None if dti.tz is not None else "US/Eastern"
-        now = Timestamp.now().tz_localize(tz)
+        dt_ind_tz = dt_ind.tz_localize(tz)
         msg = "Cannot compare tz-naive and tz-aware datetime-like objects"
         with pytest.raises(TypeError, match=msg):
             # Timestamp with mismatched tz-awareness
-            arr.take([-1, 1], allow_fill=True, fill_value=now)
+            arr.take([-1, 1], allow_fill=True, fill_value=dt_ind_tz)
 
         value = NaT.value
         msg = f"value should be a '{arr1d._scalar_type.__name__}' or 'NaT'. Got"
@@ -877,7 +878,7 @@ def test_take_fill_valid(self, arr1d):
         if arr.tz is not None:
             # GH#37356
             # Assuming here that arr1d fixture does not include Australia/Melbourne
-            value = Timestamp.now().tz_localize("Australia/Melbourne")
+            value = dt_ind.tz_localize("Australia/Melbourne")
             msg = "Timezones don't match. .* != 'Australia/Melbourne'"
             with pytest.raises(ValueError, match=msg):
                 # require tz match, not just tzawareness match
@@ -1039,14 +1040,14 @@ def test_take_fill_valid(self, timedelta_index):
         result = arr.take([-1, 1], allow_fill=True, fill_value=td1)
         assert result[0] == td1
 
-        now = Timestamp.now()
-        value = now
+        dt_ind = Timestamp(2021, 1, 1, 12)
+        value = dt_ind
         msg = f"value should be a '{arr._scalar_type.__name__}' or 'NaT'. Got"
         with pytest.raises(TypeError, match=msg):
             # fill_value Timestamp invalid
             arr.take([0, 1], allow_fill=True, fill_value=value)
 
-        value = now.to_period("D")
+        value = dt_ind.to_period("D")
         with pytest.raises(TypeError, match=msg):
             # fill_value Period invalid
             arr.take([0, 1], allow_fill=True, fill_value=value)