Hii!
No, you wouldn't as such. Obviously, people will be speaking their regional language and mother tongue, but you would not face any problem in your course or studies. Mostly, the english language is used for studies and explanation by the teachers. And, if you don't understand anything, you can always ask for explaination in English. So, don't worry. Students from different states with different languages come and study at a place, that doesn't mean, they don't understand anything. There are always ways and solutions for every problem. And, if you learn the regional language slowly, better for you.
Hope this helps.
Good luck!