My personal opinion is that you should keep doing it. Mh DH and I faithfully sterilized our DD's bottles until she switched to sippy cups at 11 months. It's quite possible that we didn't need to do it that long, but it certainly made us feel better. I admit, it was a pain, but worth it all at the same time. But again, that was just our personal preference to continue to sterilize. But I would say at least keep doing it for now since she's only 2 months.