diff --git a/lib/valueflow.cpp b/lib/valueflow.cpp
index a74685c39..c830e76c4 100644
--- a/lib/valueflow.cpp
+++ b/lib/valueflow.cpp
@@ -3623,11 +3623,18 @@ static void valueFlowLifetime(TokenList *tokenlist, SymbolDatabase*, ErrorLogger
             if (!Token::Match(parent, ". %name% ("))
                 continue;
 
+            bool isContainerOfPointers = true;
+            const Token* containerTypeToken = tok->valueType()->containerTypeToken;
+            if (containerTypeToken) {
+                ValueType vt = ValueType::parseDecl(containerTypeToken, settings);
+                isContainerOfPointers = vt.pointer > 0;
+            }
+
             LifetimeStore ls;
 
             if (astIsIterator(parent->tokAt(2)))
                 ls = LifetimeStore{tok, "Iterator to container is created here.", ValueFlow::Value::LifetimeKind::Iterator};
-            else if (astIsPointer(parent->tokAt(2)) || Token::Match(parent->next(), "data|c_str"))
+            else if ((astIsPointer(parent->tokAt(2)) && !isContainerOfPointers) || Token::Match(parent->next(), "data|c_str"))
                 ls = LifetimeStore{tok, "Pointer to container is created here.", ValueFlow::Value::LifetimeKind::Object};
             else
                 continue;
diff --git a/test/teststl.cpp b/test/teststl.cpp
index 931fdc73f..e00595055 100644
--- a/test/teststl.cpp
+++ b/test/teststl.cpp
@@ -4164,6 +4164,40 @@ private:
               "  v.push_back(\"y\");\n"
               "}\n",true);
         ASSERT_EQUALS("", errout.str());
+
+        // #9796
+        check("struct A {};\n"
+              "void f() {\n"
+              "    std::vector<A *> v;\n"
+              "    A *a = new A();\n"
+              "    v.push_back(a);\n"
+              "    A *b = v.back();\n"
+              "    v.pop_back();\n"
+              "    delete b;\n"
+              "}\n" ,true);
+        ASSERT_EQUALS("", errout.str());
+
+        check("struct A {};\n"
+              "void f() {\n"
+              "    std::vector<A *, std::allocator<A*>> v;\n"
+              "    A *a = new A();\n"
+              "    v.push_back(a);\n"
+              "    A *b = v.back();\n"
+              "    v.pop_back();\n"
+              "    delete b;\n"
+              "}\n" ,true);
+        ASSERT_EQUALS("", errout.str());
+
+        check("struct A {};\n"
+              "void f() {\n"
+              "    std::vector<std::shared_ptr<A>> v;\n"
+              "    std::shared_ptr<A> a = std::make_shared<A>();\n"
+              "    v.push_back(a);\n"
+              "    std::shared_ptr<A> b = v.back();\n"
+              "    v.pop_back();\n"
+              "    delete b;\n"
+              "}\n" ,true);
+        ASSERT_EQUALS("", errout.str());
     }
 
     void invalidContainerLoop() {