I agree with KAOTIC, but, I would give it a few months and at the same time look for another job
that's what I did
mine was slightly different version of yours. I was hired part time and never thought of going for full time, but then I did not get along with my immediate manager, another manager (different office) wanted to recruit me into hers but it would be for a slightly higher position, basically a promo that included full time status
she talked to the DM and after being shot down because I'd only been there a few months (3 I think) I began to look for another job. I didn't want to try and transfer and have to explain its because I dislike my immediate manager--esp since all uppers talk with each other, but was disappointed at having been given the chance to get away from that manager only to have it pulled out under me
so I began searching for other jobs while continuing to do my current job as best as possible.
one day the DM stops by and says she wants to talk to me
this is just one day after I had my interview with another company
she asks me if I want to move on (get promoted)
heck yes!
so sometimes it does work in your favor if you wait
but do not, do not, wait without a backup plan. don't wait without exploring other options, heck you might even find better ones! in this case the backup plan was
Barneys and contrary to what people might think at 11-13$ (i made a face and the hr said they can get a dollar or two above that........) per hour plus 3% commission is not as good as