Murty was placed in charge of the Scottish club until the end of the season after Pedro Caixinha was sacked in October 2017.
The Sun's reports suggests a deal with Gerrard is "close" and that the 2005 Champions League victor "isn't daunted" by the challenge that would lie ahead of him - toppling Celtic and restoring Rangers to the pinnacle of Scottish football after much publicised troubles in recent years. Their report claims that Gerrard "isn't daunted by the size of the task" and is in discussions with a delegation led by Gers' Director of Football Mark Allen.
Gerrard taking over at Rangers would have the added intrigue of him going up against his former Liverpool manager Brendan Rodgers - that's if Rodgers does not become the next Arsenal boss.
Rangers chairman Dave King was at Anfield on Tuesday as Liverpool beat Roma in the Champions League, while Gerrard was spotted at an Old Firm match earlier this season.
His side sit second in the U18 Premier League table, behind only Manchester United in the table.
The Champions League victor has also been coaching the Under 19s in UEFA Youth League matches.
A move for Gerrard would confirm that Graeme Murty's spell as interim manager will not be made permanent.
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