The Dutch coach currently has a contract at Old Trafford that runs until 2017, and according to the Mirror, is expected to leave when his current deal comes to an end.
Various names have been considered as a replacement for the Dutch coach, and an appealing option for fans may be Neville, who is a Red Devils legend.
The former England right-back made his first foray into management this week when he signed for Valencia, replacing Nuno Espirito Santo, after admitting that it would have been impossible for him to refuse the job [Daily Mail].
Could Gary Neville be the ideal van Gaal replacement?
The Mirror report on Saturday that United officials will be keeping a close eye on Neville’s progress over the rest of the season—the ex-defender only has a contract until June 2016—as they consider him as a potential replacement for LVG.
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While van Gaal has got United up to third in the Premier League table—only one point behind leaders Manchester City—many fans remain unconvinced by the coach, who has overseen the worst goalscoring record of any of the top five clubs so far this season.