There is a fork in the PM career path road: one is becoming a people manager, the other becoming an expert in a deep thinking product area sans managing a team.
My recommendation is to figure out which one is right for you. Many folks want to jump into management simply because they think this is the only way to grow, make more $$$ and so on. That is not true. Big and small orgs I have been a part of value senior individual contributors that are passionate about their individual craft. Speak with folks from both paths, and see which one resonates more with you. Try mentoring people and see if you like helping others succeed through your guidance as a "management path" check.
Then, share your thinking with your manager to get them to help you moving along this path.