diff --git a/genno/tests/compat/test_sdmx.py b/genno/tests/compat/test_sdmx.py
index 45ad3c94..2b7383b0 100644
--- a/genno/tests/compat/test_sdmx.py
+++ b/genno/tests/compat/test_sdmx.py
@@ -1,8 +1,13 @@
 import pytest
+import sdmx
 from sdmx.model.common import Code, Codelist
 
 from genno import Computer
-from genno.compat.sdmx import codelist_to_groups
+from genno.compat.sdmx import (
+    codelist_to_groups,
+    dataset_to_quantity,
+    quantity_to_dataset,
+)
 from genno.testing import add_test_data
 
 
@@ -39,3 +44,50 @@ def test_codelist_to_groups() -> None:
 
     # Quantity was aggregated per `cl`
     assert {"foo", "bar"} == set(result1.coords["t"].data)
+
+
+@pytest.fixture(scope="session")
+def dsd(test_data_path):
+    # Read the data structure definition
+    yield sdmx.read_sdmx(test_data_path.joinpath("22_289-structure.xml")).structure[
+        "DCIS_POPRES1"
+    ]
+
+
+@pytest.fixture(scope="session")
+def dm(test_data_path, dsd):
+    # Read the data message
+    yield sdmx.read_sdmx(test_data_path.joinpath("22_289.xml"), structure=dsd)
+
+
+def test_dataset_to_quantity(dsd, dm):
+    # Select the data set
+    ds = dm.data[0]
+
+    # Operator runs
+    result = dataset_to_quantity(ds)
+
+    # Dimensions of the quantity match the dimensions of the data frame
+    assert set(d.id for d in dsd.dimensions.components) == set(result.dims)
+
+    # Attributes contain information on the data set and its structure
+    assert (
+        "urn:sdmx:org.sdmx.infomodel.datastructure.DataStructureDefinition="
+        "IT1:DCIS_POPRES1(1.0)" == result.attrs["structure_urn"]
+    )
+
+    # All observations are converted
+    assert len(ds.obs) == result.size
+
+
+def test_quantity_to_dataset(dsd, dm):
+    ds = dm.data[0]
+    qty = dataset_to_quantity(ds)
+
+    result = quantity_to_dataset(qty, structure=dsd)
+
+    # All observations are converted
+    assert len(ds.obs) == len(result.obs)
+
+    # Dataset is associated with its DSD
+    assert dsd is ds.structured_by