F1 - H1 Transfer

[ak001]

Hi,

I am a student pursuing a Master's degree in US. Joined in Fall'08.

I already have a Bachelor's degree.

Is it OK for an employer to file for my H1 in April 09.

In simple words, Can I shift from F1 to H1 before I complete my Master's degree, start working on H1, and continue my Master's part time?

Thanks