diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 4aa6418a..5b3b3b8d 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -8,6 +8,9 @@ Changelog for cfgrib
 - fix issue where to_grib() could crash if given a dataset with a single-valued dimension
   See `#347 <https://github.com/ecmwf/cfgrib/issues/347>`_.
 
+- fix issue where values could not be extracted when alternativeRowScanning=1 and
+  grid is not represented as 2D
+  See `#358 <https://github.com/ecmwf/cfgrib/issues/358>`_.
 
 0.9.10.4 (2023-05-19)
 ---------------------
diff --git a/cfgrib/dataset.py b/cfgrib/dataset.py
index bf5eea9a..f37266f3 100644
--- a/cfgrib/dataset.py
+++ b/cfgrib/dataset.py
@@ -319,7 +319,8 @@ def get_values_in_order(message, shape):
     # type: (abc.Field, T.Tuple[int]) -> np.ndarray
     # inform the data provider to return missing values as missing_value
     values = message["values"]
-    if message.get("alternativeRowScanning", False):
+    # for 2D array (lat/lon) re-arrange if alternative row scanning
+    if len(shape) == 2 and message.get("alternativeRowScanning", False):
         values = values.copy().reshape(shape)
         values[1::2, :] = values[1::2, ::-1]
         return values.flatten()
diff --git a/tests/sample-data/ds.waveh.5.grib b/tests/sample-data/ds.waveh.5.grib
new file mode 100644
index 00000000..a424e147
Binary files /dev/null and b/tests/sample-data/ds.waveh.5.grib differ
diff --git a/tests/test_40_xarray_store.py b/tests/test_40_xarray_store.py
index 0f51613b..d37fb04a 100644
--- a/tests/test_40_xarray_store.py
+++ b/tests/test_40_xarray_store.py
@@ -17,6 +17,7 @@
 TEST_DATA_MULTIPLE_FIELDS = os.path.join(SAMPLE_DATA_FOLDER, "regular_gg_ml_g2.grib")
 TEST_DATA_DIFFERENT_STEP_TYPES = os.path.join(SAMPLE_DATA_FOLDER, "cfrzr_and_cprat.grib")
 TEST_DATA_DIFFERENT_STEP_TYPES_ZEROS = os.path.join(SAMPLE_DATA_FOLDER, "cfrzr_and_cprat_0s.grib")
+TEST_DATA_ALTERNATE_ROWS_MERCATOR = os.path.join(SAMPLE_DATA_FOLDER, "ds.waveh.5.grib")
 
 
 def test_open_dataset() -> None:
@@ -154,3 +155,11 @@ def test_open_datasets_differet_step_types_zeros() -> None:
     assert res[0].cfrzr.attrs["GRIB_stepType"] == "instant"
     assert res[1].cprat.attrs["GRIB_stepType"] == "avg"
     assert res[1].cfrzr.attrs["GRIB_stepType"] == "avg"
+
+
+def test_alternating_scanning_mercator() -> None:
+    ds = xarray_store.open_dataset(TEST_DATA_ALTERNATE_ROWS_MERCATOR)
+    values = ds.variables["shww"].data
+    assert np.isnan(values[5])
+    assert values[760500] == 1.5
+    values_all = ds.variables["shww"].data[:]