While Sanchez has endured a disappointing loan spell at San Siro, the Chile international has contributed one goal and three assists from his last three outings.
According to Goal, that has resulted in Inter expressing a willingness to keep the 31-year-old on a full-time basis.
There have been previous suggestions that Inter and United would be unable to agree terms over a transfer ahead of next season.
However, it is now claimed that the Serie A outfit are willing to pay £18m for Sanchez, likely on the basis that the player takes a wage cut.
United are expected to be open to reaching a deal with Inter in order to free up space on their own wage bill.