Jota joins Forest in a permanent transfer, signing a deal to 2028.
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The 24 year-old moves to the City Ground for a fee of €7m.
Portugal coach Roberto Martínez gave Jota his senior international debut in a 5-2 win over Sweden in March.
Jota, last season, scored 15 goals and registered seven assists in 42 games for Vitória across all competitions.