The Japan international is aware of Leeds' interest and open to moving to England this summer, says the Daily Mail.
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Off contract in June, Morita is prepared to open Bosman talks with Leeds once their Premier League status is assured for next season.
At Leeds, the 30 year-old is seen as an ideal foil for club captain Ethan Ampadu in midfield.
Morita has been with Sporting for four years, amassing over 100 appearances for the Lisbon giants.