diff --git a/test/python/compiler/test_transpiler.py b/test/python/compiler/test_transpiler.py
index b847799ecf41..92187ec74999 100644
--- a/test/python/compiler/test_transpiler.py
+++ b/test/python/compiler/test_transpiler.py
@@ -1761,6 +1761,11 @@ def test_qpy_roundtrip_backendv2(self, optimization_level):
     def test_qpy_roundtrip_control_flow(self, optimization_level):
         """Test that the output of a transpiled circuit with control flow can be round-tripped
         through QPY."""
+        if optimization_level == 3 and sys.platform == "win32":
+            self.skipTest(
+                "This test case triggers a bug in the eigensolver routine on windows. "
+                "See #10345 for more details."
+            )
 
         backend = FakeMelbourne()
         transpiled = transpile(