diff --git a/lib/checkclass.cpp b/lib/checkclass.cpp
index cae26e77f..02f2903a4 100644
--- a/lib/checkclass.cpp
+++ b/lib/checkclass.cpp
@@ -1663,7 +1663,7 @@ bool CheckClass::checkConstFunc(const Scope *scope, const Token *tok)
 
         // function call..
         else if (Token::Match(tok1, "%var% (") &&
-                 !(Token::Match(tok1, "return|c_str|if|string") || tok1->isStandardType()))
+                 !(Token::Match(tok1, "return|c_str|if|string|switch|while") || tok1->isStandardType()))
         {
             if (!isConstMemberFunc(scope, tok1))
             {
diff --git a/test/testclass.cpp b/test/testclass.cpp
index 81ef21d5c..310d414c1 100644
--- a/test/testclass.cpp
+++ b/test/testclass.cpp
@@ -185,6 +185,7 @@ private:
         TEST_CASE(const52); // ticket #3049
         TEST_CASE(const53); // ticket #3052
         TEST_CASE(const54);
+        TEST_CASE(const55); // ticket #3149
         TEST_CASE(assigningPointerToPointerIsNotAConstOperation);
         TEST_CASE(assigningArrayElementIsNotAConstOperation);
         TEST_CASE(constoperator1);  // operator< can often be const
@@ -5756,6 +5757,17 @@ private:
         ASSERT_EQUALS("", errout.str());
     }
 
+    void const55() // ticket #3149
+    {
+        checkConst("class MyObject {\n"
+                   "public:\n"
+                   "    void foo(int x) {\n"
+                   "    switch (x) { }\n"
+                   "    }\n"
+                   "};\n");
+        ASSERT_EQUALS("[test.cpp:3]: (information) Technically the member function 'MyObject::foo' can be const.\n", errout.str());
+    }
+
     void assigningPointerToPointerIsNotAConstOperation()
     {
         checkConst("struct s\n"