The 24-year-old defender - who joined United from Crystal Palace in 2019 - fell out of favour towards the end of last season and while he's prepared to fight for his place next season under new manager Erik ten Hag, he also wants regular first-team football.
A number of Premier League clubs are interested in the player, according to Sky Sports. However, as yet, there have been no official bids for the player.
United would consider suitable offers for Wan-Bissaka, but at this point in time, both parties are relaxed about the situation.
Elsewhere, United are close to finalising a deal that will see goalkeeper Dean Henderson leave the club on loan.
Henderson, 25, was the second-choice keeper at Old Trafford last season, but he's now on the verge of joining Nottingham Forest on loan.
Transfer expert Fabrizio Romano confirmed the news on Twitter, saying: "Manchester United and Nottingham Forest, confident to get Dean Henderson loan deal done this week. Talks in progress, personal terms agreed. #MUFC (sic)"
Meanwhile, Sky Sports report that United want a straight loan deal for Henderson, while Forest - who were recently promoted back to the Premier League - are pushing for an option to buy next summer.
The two clubs also need to agree how they will split Henderson's wages during the coming season before a deal is confirmed.