H1B to F1 to H1B change of status

[NYC16]

Hello,

I have a U.S. undergraduate degree and filed H1B with this degree and worked for about 1 year. Then I went to U.S. graduate school and changed status from H1B to F1.

My question is, if I find a full-time job during graduate school can I change back to H1B using my undergraduate degree and study for graduate school and work full-time at the same time, or can I simply quit graduate school and change back to H1B using my undergraduate degree and start working from there?

Thanks!