At Bayern Munich, few are surprised by the France international's talent, with the 24-year-old registering five assists at the World Cup so far, the best return of any player in the tournament.
That form has not gone unnoticed among his suitors, with Real Madrid among the clubs monitoring his situation.
Kylian Mbappé is said to be pushing behind the scenes for Olise to join him in the Spanish capital.
Despite publicly denying interest, Real Madrid are still considering a move for the winger, according to several Spanish outlets, including AS.
The publication reports that two clubs have made contact with Olise's entourage, with one said to be ahead in the race. Their identities have not been confirmed, though Real Madrid are widely expected to be one of the two.
Paris Saint-Germain have also recently been mentioned as an interested party.
Regardless of who pursues him, any suitor will need to convince both Olise, who has no desire for confrontation with his club, and Bayern Munich, who have stated the player is not for sale.