According to this story, Illinois Governor Pat Quinn will ask the legislature to quickly pass a bill, making it legal for him to call a special election to fill the U.S. House seat, 2nd district, in April, instead of in March. The 2nd district mostly in Chicago, but is also in some counties adjoining Cook County that have April elections already scheduled. Current law requires the special election to be no later than March.
The current legislative session reconvenes November 27 anyway for a veto session, lasting over a week. The rules permit a new bill to be introduced and passed in that veto session. The legislators elected in 2010, not the ones elected in 2012, will be the ones meeting this month and next month.