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Despite making plans with the Spaniard for next season, the club hasn't ruled out a potential exit amid rumors of a move to Real Madrid.
Alonso guided Leverkusen to the Bundesliga title last season and is on track to finish as runner-up behind Bayern Munich this term.
Meanwhile, Carlo Ancelotti's future at Real Madrid is under scrutiny following their Champions League exit at the hands of Arsenal.
The 43-year-old had successful stints at Real Madrid, Bayern Munich, and Liverpool.
At the Laureus Awards, Carro seemed to pave the way for Alonso's potential departure, revealing details of a meeting between the club's management and their head coach.
"No, but we have a gentlemen's agreement," Carro remarked at the Laureus Awards when questioned whether Alonso has a release clause.
He's played for Bayern, Liverpool, Real Madrid and Real Sociedad...
Xabi Alonso and Trent Alexander-Arnold could both make the move to Real Madrid this summer.
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