diff --git a/src/poetry/core/version/markers.py b/src/poetry/core/version/markers.py
index 25eb42dfc..c157d7b20 100644
--- a/src/poetry/core/version/markers.py
+++ b/src/poetry/core/version/markers.py
@@ -984,16 +984,11 @@ def exclude(self, marker_name: str) -> BaseMarker:
 
         for m in self._markers:
             if isinstance(m, SingleMarkerLike) and m.name == marker_name:
-                # The marker is not relevant since it must be excluded
-                continue
+                return AnyMarker()
 
             marker = m.exclude(marker_name)
             new_markers.append(marker)
 
-        if not new_markers:
-            # All markers were the excluded marker.
-            return AnyMarker()
-
         return union(*new_markers)
 
     def only(self, *marker_names: str) -> BaseMarker:
diff --git a/tests/version/test_markers.py b/tests/version/test_markers.py
index 5f642e949..c396208ff 100644
--- a/tests/version/test_markers.py
+++ b/tests/version/test_markers.py
@@ -1583,10 +1583,20 @@ def test_parse_version_like_markers(marker: str, env: dict[str, str]) -> None:
                 'python_version >= "3.6" or extra == "foo" and implementation_name =='
                 ' "pypy" or extra == "bar"'
             ),
-            'python_version >= "3.6" or implementation_name == "pypy"',
+            "",
         ),
         ('extra == "foo"', ""),
         ('extra == "foo" or extra == "bar"', ""),
+        # union with extras must collapse to "any" because the extras side of the union
+        # is satisfiable.
+        # Regression test for python-poetry/poetry#10910.
+        (
+            (
+                'platform_machine == "aarch64" or platform_machine == "x86_64"'
+                ' or extra == "asyncio"'
+            ),
+            "",
+        ),
     ],
 )
 def test_without_extras(marker: str, expected: str) -> None: