The 19-year-old, who has been dubbed the new Riyad Mahrez, has emerged as one of the hottest prospects in France after breaking onto the Ligue 1 scene last season.
The winger ran defences ragged for much of the campaign and he ended up claiming five goals in 23 league appearances.
Clubs from all over Europe are now looking at Ounas and Bordeaux are expected to struggle to keep hold of him this summer.
Manchester United and Southampton, according to RMC, have both made offers for the France Under-20 international and they waiting to hear back.
As well as concrete bids from England, Ounas reportedly has four more proposals on the table – including one from Napoli.