"That is not accurate," Nagy said at a press conference Tuesday. "I have great communication with ownership, George and Ted and Ryan, but I have not had any discussions."
The report comes after the Bears blew a late lead against the Baltimore Ravens on Sunday, their fifth consecutive loss.
In his fourth season as Bears head coach, Nagy has a 31-27 record.
Nagy also said Andy Dalton would get the start for the Bears in place of the injured rookie Justin Fields.
The Bears take on the Lions in Detroit at 11:30 a.m. Thursday.