TMW claim United are considering making a move for Draxler before the transfer window closes.
Schalke are prepared to let the young forward leave the club for around £20.3million.
United will have to beat Juventus if they are to bring the 21-year-old to Old Trafford.
United boss Louis van Gaal is reportedly keen on signing Draxler as he is growing frustrated with his attempts to sign Bayern Munich star Thomas Muller.
