The former Brentford boss is odds-on favourite to take charge at Ibrox.
The Record reported earlier on Wednesday that Warburton was talking to other clubs about possible managerial roles, name checking Fulham as a side the 52-year-old had spoken too.
The former Brentford boss was quick to refute the claims of discussions at Craven Cottage though, emphasising that the current Fulham boss Kit Symons has impressed in an interview with Get West London.
“I find these reports disrespectful," Warburton said regarding the rumours. "There's no truth in them whatsoever.
“Kit Symons has done a fantastic job at Fulham and I'm disappointed to see these allegations. I have not spoken to Fulham at all.”
After he and Gers favourite David Weir helped the Bees to the Championship playoffs, having been in League One just 12 months earlier, there have been plenty of clubs credited with an interest in recruiting him as manager.
Rangers remain the favourites for Warburton though, having missed out on promotion back to the Scottish Premiership, and the manager's comments denying any interest in taking over at Fulham will have surely encouraged their pursuit of him.