Just ask, don't be reticent.
Frame it as a Career path conversation. Put your ambition out there. Understand what the requirements are in their mind for a TL, and validate if you have those competencies.
The end result of this conversation usually sounds like:
Sneha, to be a TL you need to demonstrate A B C D & E. As part of your current role we see you have proven you are good at A B C over a period of time. For D & E lets put you through a training / orientation or/and give you an interim assignment to lead the team to check for these or/and get you through an assessment or/and other things your org does
The result may not be an immediate promotion, but you know your on the right track with a defined time frame.
MNCs will have these competencies and requirements well documented. Ask for them from your HRBP.