Extended coop

[majos]

Hi I am an international student.my first course is coming to an end in August. I am currently doing my coop of 4 months.my course is a 3 semester course with one semester coop.the place iam doing my coop is giving me another 4 months( from sep to dec).but I am starting my second course in jan.so these 4 months will be my break and I am able to work.my question is can I work as a coop.i really want to continue working here.what if they insist they only want a coop student, can I continue it as a coop.if I continue as a coop would that be a problem.i will still be in my study permit.