And Tigers boss Richard Cockerill has revealed wing Miles Benjamin could be sidelined for the rest of this year.
Full-back Murphy suffered a knee injury during last weekend's 9-9 draw against Saracens at Wembley, but Benjamin, who joined Tigers from Worcester earlier this year, faces up to four months out recovering from a neck problem.
"Geordan has a bruised knee and will be (out for) three or four weeks," Cockerill told the Leicester Mercury.
"Unfortunately, Miles suffered a pretty nasty injury to his neck against Northampton in the A League two weeks ago which has resulted in a spinal injury.
"He will be potentially out for three to four months.
"The injuries are disappointing and you don't want them, but that will give opportunities for someone else to come into the side and perform."
Like Quins, Leicester are unbeaten after three Premiership games this season, with the Saracens draw following victories over London Welsh and Worcester.