diff --git a/nnpdf_data/nnpdf_data/new_commondata/dataset_names.yml b/nnpdf_data/nnpdf_data/new_commondata/dataset_names.yml
index 39233e3fa9..e823d9914e 100644
--- a/nnpdf_data/nnpdf_data/new_commondata/dataset_names.yml
+++ b/nnpdf_data/nnpdf_data/new_commondata/dataset_names.yml
@@ -376,5 +376,9 @@ STAR_2015_1JET_200GEV_CC-ALL: STAR-2015_1JET_200GEV_CC-ALL
 STAR_2015_1JET_200GEV_CF-ALL: STAR-2015_1JET_200GEV_CF-ALL
 STAR_2015_2JET_MIDRAP_200GEV_OS-ALL: STAR-2015_2JET_200GEV_MIDRAP_OS-ALL
 STAR_2015_2JET_MIDRAP_200GEV_SS-ALL: STAR-2015_2JET_200GEV_MIDRAP_SS-ALL
-ATLAS_WJ_JET_8TEV_WM-PT: ATLAS_WJ_8TEV_WM-PT
-ATLAS_WJ_JET_8TEV_WP-PT: ATLAS_WJ_8TEV_WP-PT
+ATLAS_WJ_JET_8TEV_WM-PT:
+  dataset: ATLAS_WJ_8TEV_WM-PT
+  variant: legacy
+ATLAS_WJ_JET_8TEV_WP-PT:
+  dataset: ATLAS_WJ_8TEV_WP-PT
+  variant: legacy
diff --git a/validphys2/src/validphys/loader.py b/validphys2/src/validphys/loader.py
index 72cc3379d1..0558edf22d 100644
--- a/validphys2/src/validphys/loader.py
+++ b/validphys2/src/validphys/loader.py
@@ -330,11 +330,17 @@ def _available_old_datasets(self):
     @property
     @functools.lru_cache
     def available_datasets(self):
-        """Provide all available datasets other then positivitiy and integrability.
-        At the moment this only returns old datasets for which we have a translation available
+        """Provide all available datasets that were available before the new commondata
+        was implemented and that have a translation.
+
+        TODO: This should be substituted by a subset of `implemented_dataset` that returns only
+        complete datasets.
         """
-        skip = ("POS", "INTEG")
-        old_datasets = [i for i in legacy_to_new_mapping.keys() if not i.startswith(skip)]
+        # Skip Positivity and Integrability
+        skip = ["POS", "INTEG"]
+        # Skip datasets for which a translation exists but were not implemented in the old way
+        skip += ["STAR", "ATLAS_WJ_JET_8TEV_"]
+        old_datasets = [i for i in legacy_to_new_mapping.keys() if not i.startswith(tuple(skip))]
         return set(old_datasets)
 
     @property