diff --git a/swh/deposit/tests/api/test_checks.py b/swh/deposit/tests/api/test_checks.py
--- a/swh/deposit/tests/api/test_checks.py
+++ b/swh/deposit/tests/api/test_checks.py
@@ -286,6 +286,24 @@
 _parameters3 = [
     (textwrap.dedent(metadata_ko), expected_summary)
     for (metadata_ko, expected_summary) in [
+        (
+            f"""\
+            <entry {XMLNS}>
+                <url>some url</url>
+                <codemeta:name>
+                    <codemeta:name>bar</codemeta:name>
+                </codemeta:name>
+                <author>no one</author>
+                {PROVENANCE_XML}
+            </entry>
+            """,
+            [
+                {
+                    "summary": ".*Reason: a simple content element can't have child elements.*",
+                    "fields": ["codemeta:name"],
+                },
+            ],
+        ),
         (
             f"""\
             <entry {XMLNS}>
diff --git a/swh/deposit/xsd/codemeta.xsd b/swh/deposit/xsd/codemeta.xsd
--- a/swh/deposit/xsd/codemeta.xsd
+++ b/swh/deposit/xsd/codemeta.xsd
@@ -16,4 +16,6 @@
   <xsd:simpleType name="DateOrDateTime">
     <xsd:union memberTypes="xsd:date xsd:dateTime"/>
   </xsd:simpleType>
+
+  <xsd:element name="name" type="xsd:string" />
 </xsd:schema>