I am a PhD student in Information Technology. Bachelor's degree in healthcare administration and management and master's in project management. My employer is from medical field and it's a startup company. My employer has agreed to file a green card for me. I am using TPS work permit. I don't have a lot of experience, I recently started working for them a month ago.

Do I have an option to pick if I want to get sponsored through TPS or F-1? Which one should I pick? Please advise