With two years to run in his Randers contract, the former Olyroos captain - and Socceroos player-in-waiting - is aiming to go to the next level at the four-time champions, who have been labelled as the "sleeping giants" of Danish football after a long spell without silverware - though they did finish runners-up in last season's Danish Cup.
Signed for an undisclosed fee, it's known that Randers were reluctant to lose one of their most influential players, especially to their arch-enemies.
But with the promise of playing in his preferred central midfield role 23-year-old Amini - who made 38 appearances in all competitions last season - was keen to join a club oozing ambition and coached by Glen Ridersholm, who led FC Midtjylland to the title the season before last.
Formerly of Central Coast and Borussia Dortmund, Amini, who passed a medical on Wednesday, hopes that further success at a club which is aiming for the title this season will strengthen his claims for a Socceroos call-up.
Agent Buddy Farah, who brokered the deal to the club which finished 10th last season, said: "They are a big club, it's a big project and they have big ambitions for next season.
"He is going to be a massive part of their squad, if he continues to do well he will be one of the players who pulls the strings for them. Playing in his favourite position was a big carrot for Musti.
"With a big club comes big pressure and Musti thrives on that."
In a match against AGF last season, Amini was sent-off in a heated derby for a mistimed tackle.
However that controversy seems not to have deterred one of Denmark's oldest clubs - AGF was founded in 1902.