NEW ESSENDON coach Mark McVeigh says the Bombers "will get in the ring pretty aggressively" for Toby Greene if the star forward decides to leave Greater Western Sydney.

McVeigh has confirmed he will catch up with Greene this week, with the Giants skipper in Melbourne to meet with Geelong officials as he weighs up his future.

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Greene, the greatest player in the Giants' 15-year history, is considering finishing his career back in Victoria so he has more support for his young family.

Speaking to AFL.com.au a day after being unveiled as the Bombers' new coach, McVeigh said Greene suited the club's plan to add experienced players.

"Toby is a loyal person, always has been," McVeigh said of Greene, who he coached at the Giants.

"He's been a wonderful player for the Giants and he's not going to let that go easily.

"I'd be silly after coaching him and now coming to the Bombers to not sit down and have a coffee with him to say, 'where are you at, if you are thinking of moving, can we get in the ring?'.

"If he does decide he wants to move, we will get in the ring pretty aggressively.

"I really don't know (if he would want to play for Essendon). The conversation (this week) was brief and more around congratulating me and off the back off that, while you're there (in Melbourne), would you be interested in having a coffee? And he said he'd love to. That could be out of respect, that could be 'I'm genuinely interested'. But we'll wait and see."

The Bombers have been aggressive in attempting to bring experienced players to the club this year, pitching to the likes of Scott Pendlebury, Lachie Neale and Touk Miller.

"I think the club's strategy is that, and that's clear with the players they've gone after," McVeigh said.

"I think it's going to be really important that they're exposed to leadership. There are young and emerging leading coming through, but I think they need someone who has been at another club for a long time and has seen what's it takes to play consistent finals.

"It's not easy to get those people in, but our sell to players like that is going to be different to Geelong or Hawthorn because of where they're at in their list build and what they're doing.

"Ours will be a completely different sell ... being part of the change, having significant input into what we're doing, is life after footy involved for that person?"

Speaking earlier on Wednesday, Greene confirmed he will meet Cats officials this week but denied he had already made up his mind about leaving GWS.

"I felt like a lot of people in Melbourne, or friends, maybe even some people at the club, feel like I'm definitely going, which is not true," Greene told the Ausmerican Aces podcast.

"If I was definitely going, I'd say that now. I'd be up-front with the Giants and make it easy for them."

Greene's good friend and former GWS teammate Jeremy Cameron looms as a natural attraction at Geelong.

"I'll meet with Geelong probably this weekend, I'd say," he said.

"I couldn't give a f*** about the tour, to be honest. I couldn't care about what their footy club looks like. They're a bloody good club.

"I'd do weights at Anytime Fitness, if I have to."

GWS missed finals for the first time since 2022, with several experienced players already making an exit.

Coleman medallist Jesse Hogan, enigmatic forward Jake Stringer and ruckman Kieren Briggs are confirmed departures.

"If I didn't think the Giants would finish top-four next year, I wouldn't stay," Greene said.

"One thing I want to do with them is win a flag and that's the best thing I could do ever in footy.

"I could win two or three (premierships) somewhere else, it wouldn't be as good as one at the Giants."

Greene has played 282 games for GWS after playing in the club's first AFL game back in 2012.