diff --git a/tests/test_atmos.py b/tests/test_atmos.py
index 2828f92fc..deb36c214 100644
--- a/tests/test_atmos.py
+++ b/tests/test_atmos.py
@@ -253,6 +253,14 @@ def test_wind_chill_index(atmosds):
     )
 
 
+def test_wind_profile(atmosds):
+    atmos.wind_profile(wind_speed=atmosds.sfcWind, h_r="10 m", h="100 m", alpha=1 / 7)
+
+
+def test_wind_power_potential(atmosds):
+    atmos.wind_power_potential(wind_speed=atmosds.sfcWind)
+
+
 class TestDrynessIndex:
     def test_simple(self, atmosds):
         ds = atmosds.isel(location=3)
diff --git a/xclim/indicators/atmos/_conversion.py b/xclim/indicators/atmos/_conversion.py
index 9988ea6d4..bcb206de8 100644
--- a/xclim/indicators/atmos/_conversion.py
+++ b/xclim/indicators/atmos/_conversion.py
@@ -128,7 +128,7 @@ def cfcheck(self, **das):
 wind_power_potential = Converter(
     title="Wind power potential",
     identifier="wind_power_potential",
-    units="W m-2",
+    units="",
     long_name="Wind power potential",
     description="Wind power potential using a semi-idealized turbine power curve using a cut_in speed of {cut_in}, "
     "a rated speed of {rated}, and a cut_out speed of {cut_out}.",