United are understood to have identified the 20-year-old as their top transfer target this summer, but they are unwilling to meet Dortmund's £108m asking price.
The German outfit kicked off their training camp with a comfortable win today, with Sancho playing 45 minutes, and after the friendly he hinted that he would be happy to stay at the Westfalenstadion.
"I love playing with this lot. It is a special bunch. We've got some special young players coming up," Sancho told reporters after the game.
"I am really happy to share the pitch with them and guide them. I was once in their shoes, playing with the seniors. I am happy for them.
"I joined when I was 17. Some of the lads are the same age. I've been there and done that. I can guide them in what's good and what isn't. I can hopefully motivate them as well."