(CNN) - Illinois Gov. Pat Quinn called on Sen. Roland Burris to resign Friday.
"At this time we have a senator who has a cloud over his head," Quinn said at a news conference. "It's time (for Burris) to put the interest of the people of the land of Lincoln ahead of his own and step aside and resign from office."
Earlier: Pressure mounts on Burris
Quinn said he supported a bill introduced in the Illinois legislature that would set up a special election for all future U.S. Senate vacancies.
The bill would allow the governor to set the date of a special Senate primary within 72 days of the vacancy. A general election would follow within six weeks after the primary.
The governor would be empowered to name a temporary replacement until the special election.
Quinn said that, if given the power to name a replacement, he would not name someone with an interest in running in the special election.
UPDATE: An aide to Burris told CNN's Dana Bash he is currently not planning to officially respond, but the aide did tell CNN that the senator has "no plans to resign," and that he intends to "let the process work itself out - in Illinois and in the Senate ethics committee."
This Burris aide said he does not believe the governor called the senator before publicly announcing he should resign.