Here's an excerpt from http://www.cic.gc.ca/english/immigrate/skilled/funds.asp
Unless you are currently authorized to work in Canada and have a valid job offer from an employer in Canada, or you have been invited to apply under the Canadian Experience Class, you must show that you have enough money to support yourself and your family after you get to Canada.
Since you are only eligible for CEC, you can only be invited under this class and hence, you do not need to show POF.