The Ibrox assistant manager is delighted with the example that the midfielder sets in Rangers training.
Davis arrived on loan from Southampton in January. His form in the second half of last season was enough to convince the Gers he was worth giving a permanent contract this summer.
He's been a crucial cog in the Rangers machine for a number of months now. Despite being 34 looks as crucial as ever in the heart of Steven Gerrard's midfield.
Now McAllister has revealed that the veteran is also setting the tone for younger players on the training pitch.
"He doesn’t just skip through training. What you see at the weekend is what we see here at the training centre every day.
"We don’t flog people in training. With the amount of games we play, it is short and sharp. And Steven is always one who is particularly lively."
For Rangers to have a player with such experience and quality able to help younger players is a huge benefit, without even considering what be brings to the team on the pitch.
With players such as Joe Aribo and Greg Docherty still not having reached their full potential, they can learn plenty from the Northern Ireland international.
Davis has experience of winning trophies at Ibrox and if the club are to follow up last season's progress under Gerrard with tangible rewards this term then he will be absolutely crucial.
Considering the Ibrox side did not shell out on a transfer fee for the player, there's no doubt he is proving to be one of the best bargains brought through their doors in recent years.
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