But, some airlines don't let you board if you don't have a flight out within 60 days.
That's easily fixed by buying what's called an onward ticket, which is a real ticket that you "rent" for around $10 to show embassies or airlines, that then gets cancelled after a few days.
Google onward ticket, and scroll down to one of the unsponsored links and buy one there. Make sure to check how long it's valid, so you get one that's valid on the day you're flying.