However, Press Association Sport understands there is no "imminent announcement" and any agreement will have to wait until Gerrard - who now is in charge of the Anfield Under-18s - returns from Rome, where he is working for BT Sport as a pundit during their coverage of Liverpool's Champions League clash with Roma.
"I'm busy for a couple of days now and I'll pick it up on Thursday and we'll see if we can progress it".
Murty has been interim manager since October and his last game was Sunday's 5-0 loss to Celtic, a result that clinched the Scottish Premiership title for Rangers' biggest rival.
But, even if the 37-year-old, who is now the under-18 coach at Liverpool, accepts the job this week, he will not take charge until June.
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I was in the room for that meeting", the official told CNN . "He's an idiot", and "We've got to save him from himself". And though things have since cooled off, a new report from NBC News could bring their relationship back to the brink.
The 43-year-old Murty, who had been coach of the club's development squad, was appointed in December until the end of the campaign following the dismissal of Pedro Caixinha.
Taking over as Rangers boss would present Steven Gerrard with a "great opportunity" to begin his senior managerial career, according to ex-teammate Frank Lampard.
Rangers are third in the Premiership table, with only goal difference separating them from fourth-placed Hibernian.
Speaking on talkSPORT earlier today, the Chelsea legend urged Gerrard to grab the reins with both hands, saying: "In terms of the size of the club and knowing Steven pretty well, I think it's a great opportunity for him". Former Rangers defender Clint Hill once described former mentor Warnock as a good fit for the job while Warnock himself has praised the youth set up at Ibrox in the past, although he has never hinted that a job in Scotland would appeal to him.
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James made several early hoops on vicious drives, getting around the corner repeatedly and beating any help to the rim. James made basket after basket in the paint, racking up nine of them from within three feet by halftime.
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I will continue to work, that is for sure. "Honestly it's not something which will stop me doing what I am doing at the moment". Vieira represented Arsenal on 383 occasions, and won three Premier League titles with the club and three FA Cups.