You can't "transfer" the Work Permit, because it is not yours, it is the school's. When you get a new job, your new school will have to apply for a new W.P. to employ you.
You are right; the necessary paperwork can all be done in one day, with close co-operation from both old and new employers, and assuming both old and new jobs are in the same province. I did it once, and had it all done in half day. Have your new employer consult with your current employer before proceeding. You are just the commodity, there is nothing you can do yourself, beyond trying to ensure good communication between the schools.
The above comment assumes that you are quitting one full-time job and moving to another.