The 42-year-old first stepped into the hot-seat following Mark Warburton’s departure last season.
However, he has made a surprise return to the dugout again this campaign, being drafted in after Pedro Caixinha was sacked last month.
Rangers’ win over Partick Thistle last week saw Murty chalk up his second of back to back wins and Wilson believes he has handled himself “impeccably well.”
The ex-Liverpool and Hearts defender also told Sky Sports News that, should Murty be asked by the Rangers board to continue in his role, he would receive the full-backing of the senior squad:
— Sky Sports Scotland (@ScotlandSky) November 7, 2017
Wilson’s comments echo the sentiment expressed by Gers goalkeeper Wes Foderingham, who told the Daily Record, “Graeme did a fantastic job the last time he stepped in and he is continuing that now.”
Murty will be looking to continue his impressive run as interim boss after the international break, with Rangers hosting Hamilton at Ibrox on November 18.
Derek McInnes is still being touted as the favourite to land the job… but Murty would do his chances no harm with another victory against Accies.