I bit the skin off from my mouth, can it get infected easier because it's in my mouth?

I had a little piece of skin hanging in my mouth, so i bit it, and next thing i knew, under my lip, a nice fingernail sized section was missing. The next day it was swollen like crazy, and it's a yellowish bump. I swish every day, and make sure to keep my mouth clean, but is it at more of a risk for infection? I can't bandage it up or anything, so do I just let it sit for a few more days?