diff --git a/lib/token.cpp b/lib/token.cpp
index dcf567e7d..9a1bbd04f 100644
--- a/lib/token.cpp
+++ b/lib/token.cpp
@@ -910,7 +910,7 @@ const Token * Token::findClosingBracket() const
     if (!mPrevious)
         return nullptr;
 
-    if (!(mPrevious->isName() ||
+    if (!(mPrevious->isName() || Token::simpleMatch(mPrevious, "]") ||
           Token::Match(mPrevious->previous(), "operator %op% <") ||
           Token::Match(mPrevious->tokAt(-2), "operator [([] [)]] <")))
         return nullptr;
@@ -939,7 +939,7 @@ const Token * Token::findClosingBracket() const
             return nullptr;
         // we can make some guesses for template parameters
         else if (closing->str() == "<" && closing->previous() &&
-                 (closing->previous()->isName() || isOperator(closing->previous())) &&
+                 (closing->previous()->isName() || Token::simpleMatch(closing->previous(), "]") || isOperator(closing->previous())) &&
                  (templateParameter ? templateParameters.find(closing->strAt(-1)) == templateParameters.end() : true))
             ++depth;
         else if (closing->str() == ">") {
diff --git a/test/testtoken.cpp b/test/testtoken.cpp
index 64097d096..827f6f20c 100644
--- a/test/testtoken.cpp
+++ b/test/testtoken.cpp
@@ -106,6 +106,7 @@ private:
         TEST_CASE(canFindMatchingBracketsWithTooManyClosing);
         TEST_CASE(canFindMatchingBracketsWithTooManyOpening);
         TEST_CASE(findClosingBracket);
+        TEST_CASE(findClosingBracket2);
 
         TEST_CASE(expressionString);
 
@@ -1084,6 +1085,13 @@ private:
         ASSERT(Token::simpleMatch(t, "> struct"));
     }
 
+    void findClosingBracket2() const {
+        givenACodeSampleToTokenize var("const auto g = []<typename T>() {};\n"); // #11275
+
+        const Token* const t = Token::findsimplematch(var.tokens(), "<");
+        ASSERT(t && Token::simpleMatch(t->findClosingBracket(), ">"));
+    }
+
     void expressionString() const {
         givenACodeSampleToTokenize var1("void f() { *((unsigned long long *)x) = 0; }");
         const Token *const tok1 = Token::findsimplematch(var1.tokens(), "*");