Taylor, along with fellow youngsters Lewis Cook and Alex Mowatt, is out of contract at Elland Road next summer.
Both the 22-year-old and Cook have been key players for the Whites this season and are reportedly being sought by higher-division clubs.
Another Thorp Arch academy graduate, Sam Byram, found himself in an identical situation last summer and eventually left for West Ham United in a cut-price deal midway through the campaign.
Taylor admitted the trio are equally keen to test themselves in the Premier League, but insisted the dream is to do so with Leeds United.
"It’s no secret that a few of us are up next year – me, Cooky, Mowatt – and I’m not really sure where that’s at," the left-back told the Yorkshire Evening Post, which named him its Whites player of the year. “The dream is still to play in the Premier League with Leeds. I’m not just saying that, it’s how we look at it."
And York-born Taylor reiterated his intention is to remain at Elland Road next term.
"Unless anything drastic happens, I’m sure I’ll be here," he added. "I’m not thinking any other way."
Taylor's comments have echoed those made by Cook earlier this month.
"Everyone wants to be there (the Premier League) at one point in their career. That would be the dream - to do it with Leeds," the 19-year-old told the same paper.
A report in the Daily Star last September claimed that Taylor was a target for Manchester United, while Cook has been linked to Everton, Stoke City and Bournemouth by various media outlets.