The veteran duo are reported to have had a furious row with Murty following Sunday's 4-0 Scottish Cup semi-final defeat by Celtic at Hampden.
Rangers can confirm two players, Lee Wallace and Kenny Miller, have this morning been suspended pending investigation into a team related incident.
There have also been reports of Alfredo Morelos and Greg Docherty fighting in the tunnell after the game while Andy Halliday and Daniel Candieas made their feelings know after theu had been substituted.
The 38-year-old forward, who has scored 117 goals in 298 appearances across three spells at Ibrox, is out of contract in the summer.
Miller was an unused substitute for the game while Wallace has been sidelined with an injury since early in the season.
However, Miller is heading for the exit door after over-stepping the mark on Sunday, and the same could apply to captain Wallace, who has been with Rangers for almost seven years following a 2011 move from Hearts.