Quinn said Monday that people depend on his administration to make sure the agency goes in the right direction.
The agency has had a revolving door of executive directors since the tollway boss resigned in September. Two immediate successors left and a third interim head was appointed last week.
Last month, the tollway also released a federal subpoena it got for records about contractors with ties to former Gov. Rod Blagojevich.
Blagojevich was removed from office Jan. 29 after an impeachment trial triggered by his December arrest on federal corruption charges.
The accusations include alleged links to work on a $1.8 billion Chicago-area tollway construction project to political contributions from a contractor.