Talks over an agreement are understood to be ongoing, though United face competition from Arsenal and Aston Villa, who have both shown significant interest in the 18-year-old in recent weeks.
Page turned 18 last month and only signed professional terms with Leicester in September 2025, meaning Manchester United will need to negotiate a transfer fee with the League One club rather than relying on any compensation package, reports BBC Sport.
Named EFL Apprentice of the Year last season, Page is regarded as one of the most exciting talents outside the Premier League, and has already made 21 senior appearances for the Foxes, including five starts as the club were relegated from the Championship.
His most recent outing came in Saturday's Carabao Cup win over Northampton. An England Under-20 international, Page joined Leicester's academy at Under-9 level and made his senior debut against Huddersfield Town in the Carabao Cup in August 2025, having previously been part of the club's Under-16 side that won the Premier League Cup, beating Manchester City in the final at the King Power Stadium.
At the time he signed professional terms, Leicester described him as "one of the brightest talents in our system."
Any departure would represent a further blow to Leicester's academy pipeline following Jeremy Monga's move to Manchester City earlier this summer, with the 17-year-old forward having already established himself as one of English football's most sought-after young prospects before his switch to the Etihad Stadium.