diff --git a/src/spikeinterface/sortingcomponents/motion_interpolation.py b/src/spikeinterface/sortingcomponents/motion_interpolation.py
index d0bbbddd71..889e89446d 100644
--- a/src/spikeinterface/sortingcomponents/motion_interpolation.py
+++ b/src/spikeinterface/sortingcomponents/motion_interpolation.py
@@ -3,7 +3,8 @@
 import numpy as np
 from spikeinterface.core.core_tools import define_function_from_class
 from spikeinterface.preprocessing import get_spatial_interpolation_kernel
-from spikeinterface.preprocessing.basepreprocessor import BasePreprocessor, BasePreprocessorSegment
+from spikeinterface.preprocessing.basepreprocessor import (
+    BasePreprocessor, BasePreprocessorSegment)
 
 from ..preprocessing.filter import fix_dtype
 
@@ -285,7 +286,7 @@ class InterpolateMotionRecording(BasePreprocessor):
         Recording after motion correction
     """
 
-    name = "correct_motion"
+    name = "interpolate_motion"
 
     def __init__(
         self,
@@ -299,6 +300,7 @@ def __init__(
         interpolation_time_bin_centers_s=None,
         interpolation_time_bin_size_s=None,
         dtype=None,
+        **spatial_interpolation_kwargs,
     ):
         # assert recording.get_num_segments() == 1, "correct_motion() is only available for single-segment recordings"
 
@@ -307,7 +309,9 @@ def __init__(
             f"'direction' {motion.direction} not available. "
             f"Channel locations have {channel_locations.ndim} dimensions."
         )
-        spatial_interpolation_kwargs = dict(sigma_um=sigma_um, p=p, num_closest=num_closest)
+        spatial_interpolation_kwargs = dict(
+            sigma_um=sigma_um, p=p, num_closest=num_closest, **spatial_interpolation_kwargs
+        )
         if border_mode == "remove_channels":
             locs = channel_locations[:, motion.dim]
             l0, l1 = np.min(locs), np.max(locs)
diff --git a/src/spikeinterface/sortingcomponents/tests/test_motion_estimation.py b/src/spikeinterface/sortingcomponents/tests/test_motion_estimation.py
index d916102376..88908c5cc4 100644
--- a/src/spikeinterface/sortingcomponents/tests/test_motion_estimation.py
+++ b/src/spikeinterface/sortingcomponents/tests/test_motion_estimation.py
@@ -1,13 +1,12 @@
-import shutil
 from pathlib import Path
 
 import numpy as np
 import pytest
 from spikeinterface.core.node_pipeline import ExtractDenseWaveforms
 from spikeinterface.sortingcomponents.motion_estimation import estimate_motion
-from spikeinterface.sortingcomponents.motion_interpolation import InterpolateMotionRecording
 from spikeinterface.sortingcomponents.peak_detection import detect_peaks
-from spikeinterface.sortingcomponents.peak_localization import LocalizeCenterOfMass
+from spikeinterface.sortingcomponents.peak_localization import \
+    LocalizeCenterOfMass
 from spikeinterface.sortingcomponents.tests.common import make_dataset
 
 if hasattr(pytest, "global_test_folder"):
@@ -153,7 +152,6 @@ def test_estimate_motion():
         )
         kwargs.update(cases_kwargs)
 
-        job_kwargs = dict(progress_bar=False)
         motion, extra_check = estimate_motion(recording, peaks, peak_locations, **kwargs)
         motions[name] = motion
 
diff --git a/src/spikeinterface/sortingcomponents/tests/test_motion_interpolation.py b/src/spikeinterface/sortingcomponents/tests/test_motion_interpolation.py
index 1de0337ec0..ffed3e72fc 100644
--- a/src/spikeinterface/sortingcomponents/tests/test_motion_interpolation.py
+++ b/src/spikeinterface/sortingcomponents/tests/test_motion_interpolation.py
@@ -5,11 +5,8 @@
 import spikeinterface.core as sc
 from spikeinterface import download_dataset
 from spikeinterface.sortingcomponents.motion_interpolation import (
-    InterpolateMotionRecording,
-    correct_motion_on_peaks,
-    interpolate_motion,
-    interpolate_motion_on_traces,
-)
+    InterpolateMotionRecording, correct_motion_on_peaks, interpolate_motion,
+    interpolate_motion_on_traces)
 from spikeinterface.sortingcomponents.motion_utils import Motion
 from spikeinterface.sortingcomponents.tests.common import make_dataset
 
@@ -103,6 +100,22 @@ def test_interpolation_simple():
     assert np.array_equal(traces_corrected[:, 0], np.ones(nt))
     assert np.array_equal(traces_corrected[:, 1:], np.zeros((nt, nc0 - 1)))
 
+    # let's try a new version where we interpolate too slowly
+    rec_corrected = interpolate_motion(
+        rec, true_motion, spatial_interpolation_method="nearest", num_closest=2, interpolation_time_bin_size_s=2
+    )
+    traces_corrected = rec_corrected.get_traces()
+    assert traces_corrected.shape == (nc0, nc0)
+    # what happens with nearest here?
+    # well... due to rounding towards the nearest even number, the motion (which at
+    # these time bin centers is 0.5, 2.5, 4.5, ...) flips the signal's nearest
+    # neighbor back and forth between the first and second channels
+    assert np.all(traces_corrected[::2, 0] == 1)
+    assert np.all(traces_corrected[1::2, 0] == 0)
+    assert np.all(traces_corrected[1::2, 1] == 1)
+    assert np.all(traces_corrected[::2, 1] == 0)
+    assert np.all(traces_corrected[:, 2:] == 0)
+
 
 def test_InterpolateMotionRecording():
     rec, sorting = make_dataset()