The Manchester United leaders would look to replace Jose Mourinho by Mauricio Pochettino at the end of the season.
The proposed deal would cost the Old Trafford club 40 million pounds, though if the Red Devils do not face the Champions League football this season, they will not have to pay a severance pay. in Mourinho.
Mourinho struggled to impress United's board this season. His team dropped to eighth place, 18 points behind leader Manchester City.
Tottenham of Pochettino, meanwhile, is in third place, 10 points ahead of the Red Devils, and a prime position to qualify for the Champions League.
According to the Sun, the executive vice president of Manchester United is determined to bring Argentina to Old Trafford.
Pochettino was first linked to a move to United in 2016, following the dismissal of Louis van Gaal, but the former Southampton boss refused.
Recently, he also wrote about a new five-year contract at Spurs, but that would not have apparently deterred Woodward.
Spurs President Daniel Levy wants Pochettino to be in charge when the northern part of London finally settles in the new stadium.
But he seems ready to fight to keep the boss this summer.