Manchester United set to splash out £50 million
It is reported that Southampton have accepted a bid of £20m from United, rising to £25m depending on the player's success at Old Trafford although Arsenal are also believed to me keen on the French international.
Schneiderlin said: "The talks are on-going and should be completed soon.
He has been offered a new £60,000-a-week deal at the Saints but refused to sign it and is expected to double his wages to around £120,000-a-week at Old Trafford.
Van Gaal has identified Schneiderlin as someone who can perform in a deeper midfield role and provide competition for Michael Carrick.
Meanwhile, David De Gea's expected move to Real Madrid has moved a step closer after the Cheshire home he rents was put up for sale.
United, who are keen to sign Real's Sergio Ramos as part of the deal, have bid £30m for the Spanish defender in the hope of striking a deal which would take this week's spending to over £50 million if both deals go through.