diff --git a/xarray/core/dask_array_ops.py b/xarray/core/dask_array_ops.py
index 98ff9002856..c84259050d6 100644
--- a/xarray/core/dask_array_ops.py
+++ b/xarray/core/dask_array_ops.py
@@ -5,25 +5,15 @@
 
 def dask_rolling_wrapper(moving_func, a, window, min_count=None, axis=-1):
     """Wrapper to apply bottleneck moving window funcs on dask arrays"""
-    import dask.array as da
-
-    dtype, fill_value = dtypes.maybe_promote(a.dtype)
-    a = a.astype(dtype)
-    # inputs for overlap
-    if axis < 0:
-        axis = a.ndim + axis
-    depth = {d: 0 for d in range(a.ndim)}
-    depth[axis] = (window + 1) // 2
-    boundary = {d: fill_value for d in range(a.ndim)}
-    # Create overlap array.
-    ag = da.overlap.overlap(a, depth=depth, boundary=boundary)
-    # apply rolling func
-    out = da.map_blocks(
-        moving_func, ag, window, min_count=min_count, axis=axis, dtype=a.dtype
+    dtype, _ = dtypes.maybe_promote(a.dtype)
+    return a.data.map_overlap(
+        moving_func,
+        depth={axis: (window - 1, 0)},
+        axis=axis,
+        dtype=dtype,
+        window=window,
+        min_count=min_count,
     )
-    # trim array
-    result = da.overlap.trim_internal(out, depth)
-    return result
 
 
 def least_squares(lhs, rhs, rcond=None, skipna=False):
diff --git a/xarray/core/rolling.py b/xarray/core/rolling.py
index 93fdda52e8c..781550207ff 100644
--- a/xarray/core/rolling.py
+++ b/xarray/core/rolling.py
@@ -10,7 +10,7 @@
 import numpy as np
 from packaging.version import Version
 
-from xarray.core import dtypes, duck_array_ops, utils
+from xarray.core import dask_array_ops, dtypes, duck_array_ops, utils
 from xarray.core.arithmetic import CoarsenArithmetic
 from xarray.core.options import OPTIONS, _get_keep_attrs
 from xarray.core.types import CoarsenBoundaryOptions, SideOptions, T_Xarray
@@ -597,16 +597,18 @@ def _bottleneck_reduce(self, func, keep_attrs, **kwargs):
             padded = padded.pad({self.dim[0]: (0, -shift)}, mode="constant")
 
         if is_duck_dask_array(padded.data):
-            raise AssertionError("should not be reachable")
+            values = dask_array_ops.dask_rolling_wrapper(
+                func, padded, axis=axis, window=self.window[0], min_count=min_count
+            )
         else:
             values = func(
                 padded.data, window=self.window[0], min_count=min_count, axis=axis
             )
-            # index 0 is at the rightmost edge of the window
-            # need to reverse index here
-            # see GH #8541
-            if func in [bottleneck.move_argmin, bottleneck.move_argmax]:
-                values = self.window[0] - 1 - values
+        # index 0 is at the rightmost edge of the window
+        # need to reverse index here
+        # see GH #8541
+        if func in [bottleneck.move_argmin, bottleneck.move_argmax]:
+            values = self.window[0] - 1 - values
 
         if self.center[0]:
             values = values[valid]
@@ -669,12 +671,12 @@ def _array_reduce(
         if (
             OPTIONS["use_bottleneck"]
             and bottleneck_move_func is not None
-            and not is_duck_dask_array(self.obj.data)
+            and (
+                not is_duck_dask_array(self.obj.data)
+                or module_available("dask", "2024.11.0")
+            )
             and self.ndim == 1
         ):
-            # TODO: re-enable bottleneck with dask after the issues
-            # underlying https://github.com/pydata/xarray/issues/2940 are
-            # fixed.
             return self._bottleneck_reduce(
                 bottleneck_move_func, keep_attrs=keep_attrs, **kwargs
             )
diff --git a/xarray/tests/test_rolling.py b/xarray/tests/test_rolling.py
index 9d880969a82..57bf08b48a7 100644
--- a/xarray/tests/test_rolling.py
+++ b/xarray/tests/test_rolling.py
@@ -107,12 +107,13 @@ def test_rolling_properties(self, da) -> None:
         ):
             da.rolling(foo=2)
 
+    @requires_dask
     @pytest.mark.parametrize(
         "name", ("sum", "mean", "std", "min", "max", "median", "argmin", "argmax")
     )
     @pytest.mark.parametrize("center", (True, False, None))
     @pytest.mark.parametrize("min_periods", (1, None))
-    @pytest.mark.parametrize("backend", ["numpy"], indirect=True)
+    @pytest.mark.parametrize("backend", ["numpy", "dask"], indirect=True)
     def test_rolling_wrapped_bottleneck(
         self, da, name, center, min_periods, compute_backend
     ) -> None: