diff --git a/lib/checkclass.cpp b/lib/checkclass.cpp
index 85fd349a6..4f4757fb4 100644
--- a/lib/checkclass.cpp
+++ b/lib/checkclass.cpp
@@ -2391,7 +2391,7 @@ bool CheckClass::checkConstFunc(const Scope *scope, const Function *func, bool&
             if (lhs->str() == "&") {
                 const Token* const top = lhs->astTop();
                 if (top->isAssignmentOp()) {
-                    if (Token::simpleMatch(top->astOperand2(), "{")) // TODO: check usage in init list
+                    if (Token::simpleMatch(top->astOperand2(), "{") && !top->astOperand2()->previous()->function()) // TODO: check usage in init list
                         return false;
                     else if (top->previous()->variable()) {
                         if (top->previous()->variable()->typeStartToken()->strAt(-1) != "const" && top->previous()->variable()->isPointer())
diff --git a/lib/symboldatabase.cpp b/lib/symboldatabase.cpp
index ef239d2c5..c131d4734 100644
--- a/lib/symboldatabase.cpp
+++ b/lib/symboldatabase.cpp
@@ -1102,7 +1102,7 @@ void SymbolDatabase::createSymbolDatabaseSetFunctionPointers(bool firstPass)
 
     // Set function call pointers
     for (const Token* tok = mTokenizer.list.front(); tok != mTokenizer.list.back(); tok = tok->next()) {
-        if (tok->isName() && !tok->function() && tok->varId() == 0 && Token::Match(tok, "%name% [(,)>;]") && !isReservedName(tok->str())) {
+        if (tok->isName() && !tok->function() && tok->varId() == 0 && Token::Match(tok, "%name% [{(,)>;]") && !isReservedName(tok->str())) {
             if (tok->next()->str() == ">" && !tok->next()->link())
                 continue;
 
diff --git a/test/testclass.cpp b/test/testclass.cpp
index bbef69603..6c12a4998 100644
--- a/test/testclass.cpp
+++ b/test/testclass.cpp
@@ -179,6 +179,7 @@ private:
         TEST_CASE(const87);
         TEST_CASE(const88);
         TEST_CASE(const89);
+        TEST_CASE(const90);
 
         TEST_CASE(const_handleDefaultParameters);
         TEST_CASE(const_passThisToMemberOfOtherClass);
@@ -6540,6 +6541,22 @@ private:
         ASSERT_EQUALS("", errout.str());
     }
 
+    void const90() { // #11637
+        checkConst("class S {};\n"
+                   "struct C {\n"
+                   "    C(const S*);\n"
+                   "    C(const S&);\n"
+                   "};\n"
+                   "class T {\n"
+                   "    S s;\n"
+                   "    void f1() { C c = C{ &s }; }\n"
+                   "    void f2() { C c = C{ s }; }\n"
+                   "};\n");
+        ASSERT_EQUALS("[test.cpp:8]: (style, inconclusive) Technically the member function 'T::f1' can be const.\n"
+                      "[test.cpp:9]: (style, inconclusive) Technically the member function 'T::f2' can be const.\n",
+                      errout.str());
+    }
+
     void const_handleDefaultParameters() {
         checkConst("struct Foo {\n"
                    "    void foo1(int i, int j = 0) {\n"