PA Sport says the United legend will meet with chief exec Omar Berrada and sporting director Jason Wilcox at Old Trafford on Saturday morning.
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Solskjaer met with United chiefs during the week to discuss his interest in the post after Monday's dismissal of Ruben Amorim.
United want to hire a caretaker manager to the end of the season before assessing their options, with Solskjaer now favourite for the post.
Michael Carrick has also discussed the job with directors and the decision will be a choice from the pair.
However, it's now accepted Solskjaer is the frontrunner, having had a previous spell in charge at Old Trafford, when he had the club twice finish inside the top four.