The deal is subject to an international clearance.
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The move offers Kone a first taste of senior football in the Swiss Super League.
Lausanne are currently in seventh spot in the table, after 22 games.
The Mali youth international joins another of United’s emerging talents in Enzo Kana-Biyik, who is also on loan at Lausanne.
Like United, the Swiss club are also part of the Ineos network.