diff --git a/xugrid/regrid/regridder.py b/xugrid/regrid/regridder.py
index 88844cb31..35b0bcae3 100644
--- a/xugrid/regrid/regridder.py
+++ b/xugrid/regrid/regridder.py
@@ -15,10 +15,8 @@
     import dask.array
 
     DaskArray = dask.array.Array
-    DaskRechunk = dask.array.rechunk
 except ImportError:
     DaskArray = ()
-    DaskRechunk = ()
 
 import xugrid
 from xugrid.constants import FloatArray
@@ -148,9 +146,14 @@ def _regrid_array(self, source):
         size = self._target.size
 
         if isinstance(source, DaskArray):
-            # for DaskArray's from multiple partitions, rechunk first to single size per dimension
-            # for now always rechunk, could be optional only when explicit chunks in single dimension
-            source = DaskRechunk(source, source.shape)
+            # It's possible that the topology dimensions are chunked (e.g. from
+            # reading multiple partitions). The regrid operation does not
+            # support this, since we might need multiple source chunks for a
+            # single target chunk, which destroys the 1:1 relation between
+            # chunks. Here we ensure that the topology dimensions are contained
+            # in a single contiguous chunk.
+            contiguous_chunks = (source.chunks[0], (source.shape[-1],))
+            source = source.rechunk(contiguous_chunks)
             chunks = source.chunks[: -source_grid.ndim] + (self._target.shape)
             out = dask.array.map_blocks(
                 self._regrid,  # func
@@ -161,9 +164,6 @@ def _regrid_array(self, source):
                 chunks=chunks,
                 meta=np.array((), dtype=source.dtype),
             )
-            # TODO: for now we compute first, since .reshape and  dask.array.reshape
-            # does not reshapes the underlying data somehow. This need to be evaluated.
-            out = out.compute()
         elif isinstance(source, np.ndarray):
             out = self._regrid(source, self._weights, size)
         else: