diff --git a/panel/tests/test_param.py b/panel/tests/test_param.py
index fe71c90635..20ded6e45e 100644
--- a/panel/tests/test_param.py
+++ b/panel/tests/test_param.py
@@ -5,13 +5,13 @@
 import param
 
 from bokeh.models import (
-    Div, Slider, Select, RangeSlider, MultiSelect, Row as BkRow,
-    CheckboxGroup, Toggle, Button, TextInput as BkTextInput,
-    Tabs as BkTabs, Column as BkColumn, TextInput)
+    Div, Slider, Select, RangeSlider as BkRangeSlider, MultiSelect,
+    Row as BkRow, CheckboxGroup, Toggle, Button, TextInput as
+    BkTextInput,Tabs as BkTabs, Column as BkColumn, TextInput)
 from panel.pane import Pane, PaneBase, Matplotlib, Bokeh, HTML
 from panel.layout import Tabs, Row
 from panel.param import Param, ParamMethod, ParamFunction, JSONInit
-from panel.widgets import LiteralInput
+from panel.widgets import LiteralInput, RangeSlider
 from panel.tests.util import mpl_available, mpl_figure
 
 
@@ -221,7 +221,7 @@ class Test(param.Parameterized):
     model = test_pane.get_root(document, comm=comm)
 
     widget = model.children[1]
-    assert isinstance(widget, RangeSlider)
+    assert isinstance(widget, BkRangeSlider)
     assert widget.start == 0
     assert widget.end == 1.1
     assert widget.value == (0.1, 0.5)
@@ -1182,3 +1182,25 @@ def _update_text_pane(self, *_):
     view.text = TextModel(text="New TextModel")
     # Then
     assert view.text_pane.parameters==["text"]
+
+
+def test_rerender_bounded_widget_when_bounds_set_and_unset():
+    class Test(param.Parameterized):
+        num = param.Range()
+
+    test = Test()
+    p = Param(test)
+
+    assert isinstance(p._widgets['num'], LiteralInput)
+    assert p._widgets['num'] in p._widget_box
+
+    test.param.num.bounds = (0, 5)
+
+    assert isinstance(p._widgets['num'], RangeSlider)
+    assert p._widgets['num'] in p._widget_box
+
+    test.param.num.bounds = (None, 5)
+
+    assert isinstance(p._widgets['num'], LiteralInput)
+    assert p._widgets['num'] in p._widget_box
+