The i says United co-owner Sir Jim Ratclffe and director Sir David Brailsford are happy to stick with Ten Hag.
United's FA Cup quarterfinal win against Liverpool has helped Ten Hag's cause.
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However, the Dutchman will still need a strong season finish to be sure of his position.
Watching developments are Ten Hag's former clubs Ajax and Bayern Munich, with both keen to rehire him for next season.