Rangers have suspended Lee Wallace and Kenny Miller and will investigate the players' conduct following Sunday's defeat by Celtic.
Sky Sports News reported on Tuesday morning that Wallace and Miller would face disciplinary action over a dressing room bust-up with manager Graeme Murty after the 4-0 defeat by their Glasgow rivals in the Scottish Cup semi-final.
It was understood that the move was made by the club's board and had the backing of Murty.
In a statement, Rangers confirmed the two players had been suspended on Tuesday morning "pending an investigation into a team related incident".
They added that there would be "no further comment until this investigation has been completed".
The move could effectively end Miller's career with Rangers as his contract is set to expire at the end of the season. The 38-year-old forward was an unused substitute at Hampden Park.
Club captain Wallace, who has a year remaining on his deal, has not played since September due to injury.
Reports of a tunnel bust-up between Greg Docherty and Alfredo Morelos were played down by Rangers after the two players were pictured arguing on the pitch following the full-time whistle on Sunday.
Rangers, second in the Scottish Premiership table, have five games remaining this season, beginning with the visit of Hearts to Ibrox on Saturday, live on Sky Sports.