The 18-year-old is looking to follow in the footsteps of his father, who played 240 games for Port Adelaide and was a two-time champion with the club, claiming honours in both the AFL in 2004 and the SANFL in 1998.
Jase's nomination will mean the Power now hold priority to match a bid should a rival club look to select the Woodville-West Torrens teenager, who firms as a late first-round to early second-round pick.
AFL Talent Ambassador Kevin Sheehan gave strong praise to Burgoyne's prospects when speaking on SEN earlier this week.
“I like the way he plays. He’s shown me enough that he’s an AFL listed player," Sheehan said.
“He’s a smart mover, whether it’s at half-back and that’s where he mainly played this year, but he’s got that ability to slip past them, he kicks the ball at the elite level, he could play on the wing as well, I would think.
Burgoyne shared his 2021 campaign between the Eagles and Port Adelaide's reserves side in the SANFL, linking up with his brother, Trent.
Trent was delisted by the Power earlier this month after not featuring at AFL level after a luckless run with injuries.
The Magpies' decision will mean other clubs will be able to use a top 20 pick to bid on Dib without having the selection matched by Collingwood.
Dib and father-son prospect Nick Daicos both trained with the Magpies earlier this year, with a majority of Collingwood's draft picks set to swallowed into a matched bid on the latter earlier into the first round.
Should Dib go undrafted, the Magpies could look to recruit the teenager via the Rookie Draft.