diff --git a/holoviews/plotting/util.py b/holoviews/plotting/util.py
index d9157deca5..d03e9bbe2f 100644
--- a/holoviews/plotting/util.py
+++ b/holoviews/plotting/util.py
@@ -1129,6 +1129,8 @@ def hex2rgb(hex):
 
 class apply_nodata(Operation):
 
+    link_inputs = param.Boolean(default=True)
+
     nodata = param.Integer(default=None, doc="""
         Optional missing-data value for integer data.
         If non-None, data with this value will be replaced with NaN so
diff --git a/holoviews/tests/plotting/bokeh/test_links.py b/holoviews/tests/plotting/bokeh/test_links.py
index cb6efa25ef..ed11ac9a46 100644
--- a/holoviews/tests/plotting/bokeh/test_links.py
+++ b/holoviews/tests/plotting/bokeh/test_links.py
@@ -1,6 +1,6 @@
 import numpy as np
 import pytest
-from bokeh.models import ColumnDataSource
+from bokeh.models import ColumnDataSource, RangeTool
 
 from holoviews.core.spaces import DynamicMap
 from holoviews.element import Curve, Image, Path, Points, Polygons, Scatter, Table
@@ -12,7 +12,6 @@
 class TestLinkCallbacks(TestBokehPlot):
 
     def test_range_tool_link_callback_single_axis(self):
-        from bokeh.models import RangeTool
         array = np.random.rand(100, 2)
         src = Curve(array)
         target = Scatter(array)
@@ -26,7 +25,6 @@ def test_range_tool_link_callback_single_axis(self):
         self.assertIs(range_tool.y_range, None)
 
     def test_range_tool_link_callback_single_axis_overlay_target(self):
-        from bokeh.models import RangeTool
         array = np.random.rand(100, 2)
         src = Curve(array)
         target = Scatter(array, label='a') * Scatter(array, label='b')
@@ -40,7 +38,6 @@ def test_range_tool_link_callback_single_axis_overlay_target(self):
         self.assertIs(range_tool.y_range, None)
 
     def test_range_tool_link_callback_single_axis_overlay_target_image_source(self):
-        from bokeh.models import RangeTool
         data = np.random.rand(50, 50)
         target = Curve(data) * Curve(data)
         source = Image(np.random.rand(50, 50), bounds=(0, 0, 1, 1))
@@ -53,8 +50,40 @@ def test_range_tool_link_callback_single_axis_overlay_target_image_source(self):
         self.assertEqual(range_tool.x_range, tgt_plot.handles['x_range'])
         self.assertIs(range_tool.y_range, None)
 
+    def test_range_tool_link_callback_single_axis_curve_target_image_dmap_source(self):
+        # Choosing Image to exert the apply_nodata compositor
+        src = DynamicMap(
+            lambda a: Image(a*np.random.random((20, 20)), bounds=[0, 0, 9, 9]),
+            kdims=['a']
+        ).redim.range(a=(0.1,1))
+        target = Curve(np.arange(10))
+        RangeToolLink(src, target)
+        layout = target + src
+        plot = bokeh_renderer.get_plot(layout)
+        tgt_plot = plot.subplots[(0, 0)].subplots['main']
+        src_plot = plot.subplots[(0, 1)].subplots['main']
+        range_tool = src_plot.state.select_one({'type': RangeTool})
+        assert range_tool.x_range == tgt_plot.handles['x_range']
+        assert range_tool.y_range is None
+
+    def test_range_tool_link_callback_single_axis_overlay_target_image_dmap_source(self):
+        # Choosing Image to exert the apply_nodata compositor
+        src = DynamicMap(
+            lambda a: Image(a*np.random.random((20, 20)), bounds=[0, 0, 9, 9]),
+            kdims=['a']
+        ).redim.range(a=(0.1,1))
+        data = np.random.rand(50, 50)
+        target = Curve(data) * Curve(data)
+        RangeToolLink(src, target)
+        layout = target + src
+        plot = bokeh_renderer.get_plot(layout)
+        tgt_plot = plot.subplots[(0, 0)].subplots['main']
+        src_plot = plot.subplots[(0, 1)].subplots['main']
+        range_tool = src_plot.state.select_one({'type': RangeTool})
+        assert range_tool.x_range == tgt_plot.handles['x_range']
+        assert range_tool.y_range is None
+
     def test_range_tool_link_callback_both_axes(self):
-        from bokeh.models import RangeTool
         array = np.random.rand(100, 2)
         src = Curve(array)
         target = Scatter(array)
diff --git a/holoviews/util/__init__.py b/holoviews/util/__init__.py
index 962496927c..34d384e32c 100644
--- a/holoviews/util/__init__.py
+++ b/holoviews/util/__init__.py
@@ -872,7 +872,7 @@ class Dynamic(param.ParameterizedFunction):
 
     link_inputs = param.Boolean(default=True, doc="""
          If Dynamic is applied to another DynamicMap, determines whether
-         linked streams attached to its Callable inputs are
+         linked streams and links attached to its Callable inputs are
          transferred to the output of the utility.
 
          For example if the Dynamic utility is applied to a DynamicMap
@@ -900,8 +900,12 @@ def __call__(self, map_obj, **params):
         callback = self._dynamic_operation(map_obj)
         streams = self._get_streams(map_obj, watch)
         if isinstance(map_obj, DynamicMap):
-            dmap = map_obj.clone(callback=callback, shared_data=self.p.shared_data,
-                                 streams=streams)
+            kwargs = dict(
+                shared_data=self.p.shared_data, callback=callback, streams=streams
+            )
+            if self.p.link_inputs:
+                kwargs['plot_id'] = map_obj._plot_id
+            dmap = map_obj.clone(**kwargs)
             if self.p.shared_data:
                 dmap.data = dict([(k, callback.callable(*k))
                                           for k, v in dmap.data])