Tielemans has impressed for Leicester since he joined on a temporary deal from Monaco in the January transfer window.
According to HLN, Leicester are in talks with Monaco about a permanent deal this summer and the Ligue 1 club are standing firm over their €45 million (£38.3m) valuation.
But the report also claims that United are keeping tabs on Tielemans progress but a move for the Belgium international is not a priority.
United are likely to be in the market for a new central midfielder this summer, especially if Ander Herrera leaves the club on a free transfer.
Earlier this week, reports claimed that Herrera has a pre-contract agreement with Paris Saint-Germain and will join the French champions in the summer.
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