Dunkley's request for a move to Brisbane is seen to have sparked West Coast's interest in Robertson, who hails from Manning in Western Australia.
But despite the Eagles' advances, Brisbane list manager Dom Ambrogio has looked to end any suggestions the 21-year-old could depart for Perth.
“He's very much a required player with the Lions,” Ambrogio said of the 21-year-old.
“We only need to watch his finals series to see how valuable he is as a player to us with his defensive intent, his toughness and his two-way running.
“We're really keen to retain him because we think he's got a very bright future for us.”
Robertson has played 25 games for Brisbane across three seasons with the club, including 16 appearances at AFL level last season.
The versatile midfielder managed just the eight senior games in 2022, however featured in all three of Brisbane's finals matches and play a commendable role in Chris Fagan's September plans.
Roberston is contracted for next season, with a trade required to see the Eagles target depart Brisbane this year.
The 2022 trade period ends next Wednesday, October 12, at 7:30pm (AEDT).