Dawson, a South Australian product, has been previously linked to a return to his home state as he remains unsigned for the 2022 season.
The 24-year-old has been a key role player down back for the Swans since making his debut in the red and white in 2017.
The versatile Swan has since gone on to feature under coach John Longmire on 56 occasions across several defence, forward and midfield.
An impressive past couple of seasons are sure to have gauged the attention interested rivals, with the Crows and a number of Victorian clubs reportedly showing some interest in the past.
However, recently speaking on SEN, Dawson stated that Swans fans will not need to worry when it comes to his future with the club, revealing talks are underway for a new deal.
“I’m working with the club and my manager as well,” Dawson said.
“I don’t think Sydney fans should be nervous at all.
“I’m just trying to play good footy and the group we’ve got, it’s really exciting.
“The way we’ve performed against the top teams this year, it’s been exciting. Hopefully we keep this form up throughout the rest of the year.”
Dawson is one of several Swans yet to recommit to the club past 2021, with Luke Parker headlining the list of out-of-contract players.
Flashy forward Will Hayward joins Dawson in being expected to be on the radar of South Australian clubs, yet Hayward remains on penned to the Swans until the end of 2024.