Tavernier has been linked with a move to the Whites from Boro after breaking through the ranks at the North East club, featuring over 100 times since making his debut in 2017.
"I've seen the Leeds stuff, but only because my mum has been telling me about it," he told Teesside Live.
"That's all I know. She tells me what's flying around out there, but it really doesn't interest me.
"I'm a Middlesbrough player and my only focus is getting into the play-offs and winning promotion with us.
"I want to be a Premier League player, but my dream is to do it with Middlesbrough. I've come through the academy here, and I want to win promotion with Middlesbrough and play in the Premier League with this club.
"I've seen so many things here as a kid since growing up – hopefully, I can be part of something that would be really special."
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