One of the first questions the recruiter asked was pay expectation

The position was advertising a full time with a large gap range payrate $hour – $hour. When asked my pay expectations the first 2 minutes talking to the recruiter, me being a recent grad and naive, gave the the lowest number on the range.

I’m approaching the final interview and the company has shown strong interest. Is the number I gave the recruiter set in stone? Can it be bumped up a bit? Or is it too late?