diff --git a/lib/templatesimplifier.cpp b/lib/templatesimplifier.cpp
index ab84ab1c9..0d3d18852 100644
--- a/lib/templatesimplifier.cpp
+++ b/lib/templatesimplifier.cpp
@@ -276,7 +276,7 @@ unsigned int TemplateSimplifier::templateParameters(const Token *tok)
             return 0;
 
         // * / const
-        while (Token::Match(tok, "*|&|const"))
+        while (Token::Match(tok, "*|&|&&|const"))
             tok = tok->next();
 
         if (!tok)
diff --git a/test/testsimplifytemplate.cpp b/test/testsimplifytemplate.cpp
index 00de7f55f..45ec22af5 100644
--- a/test/testsimplifytemplate.cpp
+++ b/test/testsimplifytemplate.cpp
@@ -687,6 +687,10 @@ private:
         // #4010 - template reference type
         const char code[] = "template<class T> struct A{}; A<int&> a;";
         ASSERT_EQUALS("A<int&> a ; struct A<int&> { } ;", tok(code));
+
+        // #7409 - rvalue
+        const char code2[] = "template<class T> struct A{}; A<int&&> a;";
+        ASSERT_EQUALS("A<int&&> a ; struct A<int&&> { } ;", tok(code2));
     }
 
     void template32() {