diff --git a/satpy/readers/safe_sar_c.py b/satpy/readers/safe_sar_c.py
index 3f634d267c..0f61b78e7f 100644
--- a/satpy/readers/safe_sar_c.py
+++ b/satpy/readers/safe_sar_c.py
@@ -27,7 +27,7 @@
 
 import numpy as np
 from osgeo import gdal
-from dask.array import Array
+import dask.array as da
 from xarray import DataArray
 import xarray.ufuncs as xu
 from dask.base import tokenize
@@ -179,46 +179,29 @@ def interpolate_xarray(xpoints, ypoints, values, shape, kind='cubic',
             for j, hcs in enumerate(hchunks)
             }
 
-    res = Array(dskx, name, shape=list(shape),
-                chunks=(blocksize, blocksize),
-                dtype=values.dtype)
+    res = da.Array(dskx, name, shape=list(shape),
+                   chunks=(blocksize, blocksize),
+                   dtype=values.dtype)
     return DataArray(res, dims=('y', 'x'))
 
 
-def interpolate_xarray_linear(xpoints, ypoints, values, shape,
-                              blocksize=CHUNK_SIZE):
+def interpolate_xarray_linear(xpoints, ypoints, values, shape):
     """Interpolate linearly, generating a dask array."""
     from scipy.interpolate.interpnd import (LinearNDInterpolator,
                                             _ndim_coords_from_arrays)
-
-    vblocksize, hblocksize = blocksize, blocksize
-
-    vchunks = range(0, shape[0], vblocksize)
-    hchunks = range(0, shape[1], hblocksize)
-
     points = _ndim_coords_from_arrays(np.vstack((np.asarray(ypoints),
                                                  np.asarray(xpoints))).T)
 
-    token = tokenize(blocksize, points, values, shape)
-    name = 'interpolate2-' + token
-
     interpolator = LinearNDInterpolator(points, values)
 
-    def intp(slice_rows, slice_cols, interpolator):
-        grid_x, grid_y = np.mgrid[slice_rows, slice_cols]
-        return interpolator((grid_x, grid_y))
-
-    dskx = {(name, i, j): (intp,
-                           slice(vcs, min(vcs + vblocksize, shape[0])),
-                           slice(hcs, min(hcs + hblocksize, shape[1])),
-                           interpolator)
-            for i, vcs in enumerate(vchunks)
-            for j, hcs in enumerate(hchunks)
-            }
+    def intp(grid_x, grid_y, interpolator):
+        return interpolator((grid_y, grid_x))
 
-    res = Array(dskx, name, shape=list(shape),
-                chunks=(vblocksize, hblocksize),
-                dtype=values.dtype)
+    grid_x, grid_y = da.meshgrid(da.arange(shape[1], chunks=CHUNK_SIZE),
+                                 da.arange(shape[0], chunks=CHUNK_SIZE))
+    # workaround for non-thread-safe first call of the interpolator:
+    interpolator((0, 0))
+    res = da.map_blocks(intp, grid_x, grid_y, interpolator=interpolator)
 
     return DataArray(res, dims=('y', 'x'))
 
@@ -316,9 +299,9 @@ def read_band(self, blocksize=CHUNK_SIZE):
                 for j, hcs in enumerate(hchunks)
                 }
 
-        res = Array(dskx, name, shape=list(shape),
-                    chunks=(blocksize, blocksize),
-                    dtype=np.uint16)
+        res = da.Array(dskx, name, shape=list(shape),
+                       chunks=(blocksize, blocksize),
+                       dtype=np.uint16)
         return DataArray(res, dims=('y', 'x'))
 
     def get_lonlats(self):