Moyes landed the biggest job in English football this week when he was chosen as the successor to Manchester United's greatest manager of all time Sir Alex Ferguson.
Moyes was a surprise choice for many given his lack of Champions League experience, and his empty trophy cabinet, but Allardyce, who used to coach Moyes at Preston, has described the Scot as a perfect fit for the Old Trafford club.
Having enjoyed a stable and successful 11 years at Everton, many fans of the Merseryside club will be sad to see Moyes go, but Allardyce thinks the 50-year-old will have no problem focusing his team on trying to secure three points on Sunday afternoon.
Allardyce said: "It will be the last game at home for David as manager so it will be an emotional affair for him, but I'm sure, knowing David as I do, that he will be able to control and calm his emotions and do his very best to get the team to win.
"I don't expect any favours whatsoever and I hope the crowd appreciate what he has done and that they show their appreciation."
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