Portuguese starlet Quina, 18, is seen as one of Europe’s best young prospects and has attracted interest from top clubs like AC Milan, Manchester United and Liverpool.
Quina will enter into the final year of his contract this summer and chances have been limited at West Ham because they are stuck in a relegation scrap.
That has alerted AC Milan who are watching developments closely and will decide whether to make a move this summer.
West Ham may have to rebuild their squad at the end of the season - even if they stay up in the Premier League.