Upvote:3
Let's see where are you going to use your passport and why
- Airport, check in desk. They want to verify your identity and that you will be let in the country when you land. Your document suffices for both. They won't even notice the problem, most likely.
- Exit checks. Yay, the USA doesn't have exit checks.
- Indian border. You only need to prove your citizenship to be let in and even a damaged passport will suffice for that -- which is why the airport won't give you a hard time. There's nothing India specific here, really, allowing the entrance of citizens into their own country is a fundamental tenet of modern (=post World War II) citizenship.
Replace immediately when back home because entering another country with it might not be possible. Request to keep it so you can still use your visas in the old passport. (I've entered the USA for example countless times with a new passport and a ten year B1/B2 visa in my old, expired, invalidated passport.)