The Kangaroos are reportedly keen to lure the former No.1 draft pick to Victoria, after six season at the Gold Coast.
Swallow has manged just two of the past 31 matches due to a knee injury and it is uncertain whether he will play at all this season, as he struggles to recover from bone bruising in his knee.
The 23-year-old has played a total of 79 career games with the Suns since making his debut in Round 1, 2011.
He has endured a horror run with injuries of late, missing nine rounds last year after suffering a PCL injury.
However, when fully fit, he is unstoppable, winning the Suns’ best and fairest award in 2014 ahead of captain and two-time Brownlow medalist, Gary Ablett.
Both David and Andrew Swallow have also stated on several occasions that they would love to play together in the same side.
If Swallow does intend to leave, the Suns would have to agree to trade the midfielder, as he is still contracted until the end of 2017.