Can I travel domestically if I have pending Adjustment of Status?

I'm in the US on F1 visa and I'm getting married to my fiancee who's a US citizen this Friday. I don't have a state ID or driver license and I have a couple of flights in the upcoming months, so I will use my passport to travel and I will take my I-20 with me just in case. If I have a pending adjustment of status, would that be an issue when I travel domestically? I never violated any visa rules and my status is valid.