It is understood that Roos’ potential role at the Roos would be part-time.
Shaw went on to play seven seasons with Sydney, winning a premiership in 2012 under John Longmire.
The Kangaroos are looking to provide Shaw with more support next year following their disappointing 2020 season, finishing 17th on the ladder with three wins and 14 losses.
Roos coached the Swans for 202 games from 2002 to 2010, leading the club to their first premiership in 72 years in 2005.
He most recently coached at Melbourne for 66 games from 2014 to 2016 before handing the reigns over to Simon Goodwin.
North Melbourne on Wednesday sacked senior assistant Jade Rawlings and are expected to undergo several other changes to their coaching structure.