diff --git a/swh/deposit/parsers.py b/swh/deposit/parsers.py
--- a/swh/deposit/parsers.py
+++ b/swh/deposit/parsers.py
@@ -8,6 +8,7 @@
 
 """
 
+import logging
 from typing import Dict, Optional, Union
 from xml.parsers.expat import ExpatError
 
@@ -26,6 +27,8 @@
     parse_swhid,
 )
 
+logger = logging.getLogger(__name__)
+
 
 class SWHFileUploadZipParser(FileUploadParser):
     """File upload parser limited to zip archive.
@@ -184,4 +187,13 @@
                     f"visit qualifier should be a core SWHID with type {SNAPSHOT}"
                 )
 
+        if visit_swhid and anchor_swhid and visit_swhid.object_type == SNAPSHOT and \
+           anchor_swhid.object_type == SNAPSHOT:
+            logger.warn("SWHID use of both anchor and visit targeting "
+                        f"a snapshot: {swhid_reference}")
+            # FIXME: Find a real error message
+            raise ValidationError(
+                "Qualifiers anchor and visit targets both a SNAPSHOT, "
+                "please specify only visit."  # or something?
+
     return swhid_reference
diff --git a/swh/deposit/tests/api/test_parsers.py b/swh/deposit/tests/api/test_parsers.py
--- a/swh/deposit/tests/api/test_parsers.py
+++ b/swh/deposit/tests/api/test_parsers.py
@@ -225,6 +225,10 @@
             "swh:1:rev:c4993c872593e960dc84e4430dbbfbc34fd706d0;anchor=swh:1:cnt:b5f505b005435fa5c4fa4c279792bd7b17167c04;path=/",  # noqa
             "anchor qualifier should be a core SWHID with type one of",
         ),  # noqa
+        (
+            "swh:1:rev:c4993c872593e960dc84e4430dbbfbc34fd706d0;visit=swh:1:snp:0175049fc45055a3824a1675ac06e3711619a55a;anchor=swh:1:snp:b5f505b005435fa5c4fa4c279792bd7b17167c04",  # noqa
+            "Qualifiers anchor and",
+        ),
     ],
 )
 def test_parse_swh_reference_invalid_swhid(invalid_swhid, error_msg, xml_with_swhid):