Months after Illinois' new senator took office, the Supreme Court says it will not consider overturning the election of President Barack Obama's replacement in the U.S. Senate.

The high court on Monday turned away an appeal from former Illinois Sen. Roland Burris, who was appointed to the seat but did not get chance to run for a full term.

The justices also refused to hear an appeal from state officials who objected to a court order to hold a special election as well as a regular election for Obama's old seat