Di Matteo has also
won the FA Cup
as interim boss, and Buck told Sky Sports News: "He is certainly in the mix.
"He's done a great job and has to have serious consideration. He's really got the team performing."
Blues legend Gianfranco Zola said: "He should've been offered the job before the final for what he's achieved."
Buck confirmed Di Matteo will learn his fate "sooner rather than later", knowing Chelsea must move on the manager's position before they can establish summer transfer targets.
Chelsea are a more attractive proposition following Saturday night's penalty shoot-out win over Bayern Munich, which ensures they will play in the competition next season despite finishing sixth in the Premier League.
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