The England international was one of the breakout stars in European football last season, scoring 12 goals and providing 14 assists as Dortmund challenged for the Bundesliga title.
However, Sancho is on the verge of committing his future to BVB by putting pen to paper on a new long-term deal.
The winger will now earn just shy of £10m a year, with a new contract making it more difficult for the likes of United and PSG to prise him away from Signal Iduna Park.
Sancho scored one goal and set up another as Dortmund beat Augsburg 5-1 in their opening game of the new Bundesliga season.
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