diff --git a/python/src/com/jetbrains/python/psi/impl/PyBinaryExpressionImpl.java b/python/src/com/jetbrains/python/psi/impl/PyBinaryExpressionImpl.java
index 30b0b885a57c..f4d0b036f0a3 100644
--- a/python/src/com/jetbrains/python/psi/impl/PyBinaryExpressionImpl.java
+++ b/python/src/com/jetbrains/python/psi/impl/PyBinaryExpressionImpl.java
@@ -166,11 +166,9 @@ public class PyBinaryExpressionImpl extends PyElementImpl implements PyBinaryExp
           }
         }
         final PyType type = markedCallee.getCallableType().getCallType(context, this);
-        if (!PyTypeChecker.isUnknown(type, context) && !(type instanceof PyNoneType)) {
-          types.add(type);
-          if (matched) {
-            matchedTypes.add(type);
-          }
+        types.add(type);
+        if (matched) {
+          matchedTypes.add(type);
         }
       }
       final boolean bothOperandsAreKnown = operandIsKnown(getLeftExpression(), context) && operandIsKnown(getRightExpression(), context);
diff --git a/python/testSrc/com/jetbrains/python/PyTypeTest.java b/python/testSrc/com/jetbrains/python/PyTypeTest.java
index ba611eb66edd..d1c654a24d47 100644
--- a/python/testSrc/com/jetbrains/python/PyTypeTest.java
+++ b/python/testSrc/com/jetbrains/python/PyTypeTest.java
@@ -2263,6 +2263,19 @@ public class PyTypeTest extends PyTestCase {
     );
   }
 
+  // PY-24960
+  public void testOperatorReturnsAny() {
+    runWithLanguageLevel(
+      LanguageLevel.PYTHON35,
+      () -> doTest("Union[bool, Any]",
+                   "from typing import Any\n" +
+                   "class Bar:\n" +
+                   "    def __eq__(self, other) -> Any:\n" +
+                   "        pass\n" +
+                   "expr = (Bar() == 2)")
+    );
+  }
+
   private static List<TypeEvalContext> getTypeEvalContexts(@NotNull PyExpression element) {
     return ImmutableList.of(TypeEvalContext.codeAnalysis(element.getProject(), element.getContainingFile()).withTracing(),
                             TypeEvalContext.userInitiated(element.getProject(), element.getContainingFile()).withTracing());