I have just graduated and got an opprtunity to teach physics for the same university as a Part time Instructor. My university is not going to sponsor for my H1b visa. I am confused whether I can teach for the whole year without H1b. Its is saib that:

Students who fail to report this information as required will be in violation of their F-1 status and may endanger their opportunities for future benefits in the United States.  

Periods of Umemployment

• Students authorized for 12 months of OPT put their F-1 status in jeopardy if they are unemployed for more than 90 days cumulative.
• Students authorized for 29 months of OPT in total put their F-1 status in jeopardy if they are unemployed for more than 120 days cumulative (see below for more information on the new 29 month rule)

I would really appreciate for your valuable comments.