Welsh could be tempted into leaving Sunderland, according to the Sun.
New Wigan boss Warren Joyce worked with Welsh at Manchester United and Royal Antwerp, where the former was manager between 2006 and 2008.
And Joyce has reportedly instructed Latics chairman David Sharpe to orchestrate another reunion between the pair, who are said to be close.
Wigan manager Warren Joyce
According to the Sun, Welsh could be tempted into leaving the Stadium of Light 'if terms and length of deal are right'.
As well as his spell at Old Trafford, the 54-year-old has previously worked in the north west at Manchester City and Blackpool.
The report adds that Joyce also wants to add two more former United coaches, Paul McGuinness and Paul Scholes, to his coaching team, the latter on a part-time basis.
Paul Scholes on punditry duty for BT Sport
Welsh took over as Sunderland's Under-23 team boss earlier this year after Robbie Stockdale was promoted to first-team duties.
And Joyce's departure would come as another blow to the Black Cats' academy, with manager Ged McNamee leaving and assistant Danny Philpott placed on gardening leave in September.
Sunderland manager David Moyes