Hi PMM,
Thanks for your response. I thought the same until I read this:
http://www.cic.gc.ca/english/information/faq/study/study-work-faq02.asp
Can I still work in Canada even if I don't apply under a student-related work permit program?
If you are not eligible or do not want to work under a student-related work permit program (such as the Off-Campus Work Permit Program, On-Campus Work Program, Post-Graduation Work Permit Program, or Internship/Co-op Program), you can apply for a work permit to work in Canada during or after your studies under the Temporary Foreign Worker Program. See the Related Links section at the bottom of this page.
It is illegal for you to work in Canada without a valid work permit.