Everton, Leeds and Burnley are among the other English clubs to have been linked with a move for the Wales international, who has struggled for regular first-team football at Old Trafford this season.
Leeds United have reportedly stepped up their interest in Manchester United winger Daniel James, according to The Daily Star.
The Yorkshire giants are still interested in the Welshman despite missing out on the attacker almost 16 months ago.
The report adds that the Elland Road outfit wanted to sign the 22-year-old last year in January but the club were unable to get a deal over the line.
Manchester United have reportedly taken the lead in the race to sign Swansea City midfielder Daniel James, according to the Daily Mail.
The 21-year-old was strongly linked with a move to Leeds United in January, but the Championship outfit could not get a deal over the line.
The Premier League champions Manchester City have since been linked with the youngster, who ended the current campaign with five goals and 10 assists in 37 appearances for the Swans in all competitions.