Dufty is contracted at the Dragons until the end of the 2019 NRL season, but the Red V have made him available to rival clubs.
The 22-year old is reportedly keen to stay at St George Illawarra but the club is not prepared to pay the young gun is current asking price.
Dufty played all 26 games for the Dragons last season, scoring 13 tries.
Hayne is in an uncertain spot for 2019, reportedly commanding $700,000 per season, while Parramatta currently have just $200,000 in the kitty.
The Eels are aggressively looking to release a player so that they can retain Hayne, with Michael Jennings, Corey Norman and Mitchell Moses the players reportedly being shopped around.