Baby CONSTANTLY has his hands in his mouth

The last week or so, baby basically never had his hands out of his mouth, awake or asleep, pacifier or no pacifier. He tries to stick them in his mouth even while nursing. I do think he might be teething. He’s drooling, super fussy, and calms down the moment I rub his gums. 😭 I was so hoping he’d be a late teether like my others. We just started getting smiles (7 weeks premature) so I’m sad they won’t be toothless for long.

Anyone else in the same boat right now? What are you using to help teething pain? He’s too far behind developmentally to understand how to use a teether yet but doesn’t seem bothered enough to go to Tylenol.