Black Cats boss Steve Bruce has tried to see off Stoke, Aston Villa and Everton by giving the 31-year-old a long-term contract that his rivals were unwilling to match because of the defender's injury problems.
Go Wes: Manchester United defender Brown looks set to leave Old Trafford
Brown wanted to stay in the north-west but is set to be persuaded by Bruce's commitment.
Sunderland have been the busiest Premier League club in the transfer window by signing Connor Wickham, Ji Dong-won, Seb Larsson and Keiren Westwood.
Bruce sees Brown's knowledge and positive influence in the dressing room as vital to guiding his young squad.
Stoke to rival Sunderland and Villa for ?2m United defender BrownSunderland boss Bruce hopes to continue spending spree by signing United defender Brown
Explore more:People: Wes Brown, Steve Bruce