As per the internet, there are good possibilities for the private Law college in India, if the candidate have good teaching skills, then he/she can get a Assistant Professor position in Private law colleges. But if you want to go for the Government colleges & want to become an Assistant professor, then going for the 2 years LLM course will be a far better choice for you.

For more information regarding LLM you can consider the link below:

https://www.careers360.com/courses/llm-master-of-legislative-law

I hope this helps. Wish you a great eve!