Quinn is scheduled to meet today with Chicago Mayor Richard Daley -- who recently called Blagojevich "cuckoo" and had run-ins with the ousted governor last year.
The meeting with Daley was Quinn's latest in recent days with elected officials who had strained relations with Blagojevich before he was removed from office last week.
A day after taking over, Quinn met with the state's other four constitutional officers. They'd all last met with Blagojevich in 2003.
Blagojevich rankled Daley last year, accusing the mayor of standing on the sidelines in a fight over Blagojevich's capital construction program. He also annoyed Daley when he suggested crime was out of control in Chicago and offered state resources to help.