The Brazil midfielder will leave United when his contract expires at the end of this season.
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And AS says Casemiro has spoken to club chiefs about who should replace him.
The veteran believes United should move for Newcastle United captain Bruno Guimaraes, a teammate of Casemiro's in the Brazil team.
United's recruitment team are said to be in agreement with Casemiro, with it suggested they view signing Guimaraes as a priority for the summer market.
Guimaraes is currently at home in Brazil as he seeks to recover from a hamstring injury.