Demetriou said on Monday the league was supportive of Geelong's plan to develop Skilled Stadium if Australia won the right to host the World Cup finals in 2018 or 2022 as it would allow the AFL to secure Etihad Stadium during the finals period.
His support came ahead of Premier Brumby's announcement of a further $149,000 in State Government funding for the continued redevelopment of Skilled Stadium.
The new funding brings the government's total stadium redevelopment contributions to almost $20 million - more than a third of the $56 million budget to date.
Brumby said the regional city was well suited to hosting World Cup matches and he hoped to see Skilled Stadium included as part of Australia's bid to host the tournament.
"It's a perfect location in 2018 or 2022 and we believe that Geelong could be a really integral part of the Australian bid. It'll sit there with the other grounds that are part of the bid across Australia and it'll be great for Geelong and great for Victoria."
"If we are successful with the bid, what we'll do is obviously partner with the club and with the Federal Government and build this to a stand that would take 44,000-45,000 people."
Demetriou believed further development of Skilled Stadium would benefit both football codes.
"It would provide a fantastic long-term legacy for Geelong Cats Football Club and the sports-loving people of the region and has our total backing," he said.
"The World Cup aside, it would be an even better venue for future AFL games, bring more economic activity and visitors to the city and also position Geelong well to secure other major events for the region."
The push for World Cup clashes is also a priority for Geelong chief executive Brian Cook, who is eager to bring matches to Skilled Stadium.
"It would be an outstanding achievement for Geelong - not only for the Geelong footy club, but the region - if we could manage to attract the World Cup," he said.
"The event is just an unbelievable event around the world - it's as big as the Olympic Games - and people don't just quite get it, I don't think, in terms of what it means for Geelong and its related areas.
The AFL and other sporting codes are set to meet with the Federal Government's World Cup task force in Canberra on Tuesday, where the issue of venues, including Skilled Stadium, for the World Cup will be discussed.
The AFL would be required to relinquish six venues, including the MCG and grounds in Adelaide, Perth and the Gold Coast.
"We have said we are certainly happy to do our bit to help Australia win the bid. Now the Skilled Stadium option helps the FFA to overcome its issue of not having a second stadium," Demetriou said.
Brumby said the State Government would not intervene in discussions about the use of Etihad Stadium as a World Cup venue.
It remains unclear if Football Federation Australia will use Skilled Stadium as a World Cup venue option.
