The 21-year-old has been linked with a move to Hull City this summer.
Maguire has now suggested that he hopes to make the step up to the top flight of English football before the start of the new season.
"Playing in the Premier League and Europe will be a dream for me at this stage of my career," he told Sky Sports News.
"I've played nearly 170 games, I'm just 21 and the Sheffield United fans know I've given my all in every game I've played."
Wolverhampton Wanderers are also thought to be interested in signing the young centre-back.
Maguire penned his first professional contract at Bramall Lane in 2011 after graduating from the club's youth academy.