International cricket fixtures at Adelaide Oval are under threat because of a dispute between Cricket Australia and the South Australian Government.

Minister for Sport Leon Bignell said the state would not pay an undisclosed, seven-figure sum requested by the national governing body to secure games over three seasons, beginning in 2016/17.

Mr Bignell also accused Cricket Australia of trying to engineer a bidding war between the states, saying he thought the move was a bluff.

Talks between the State Government and Cricket Australia are ongoing, but Mr Bignell said he was not interested in "paying for games we already have".

"I think this a trial by Cricket Australia. They'd love to get a lot more money in their coffers," he said.

"For Cricket Australia to leave Adelaide off the Test series - [it] could only happen out of spite.

"Whether they want to ruin the history of the game, the culture of the game by going after more money - that's their decision."

Cricket Australia said it wanted state governments to invest more of their sporting budgets in cricket but denied holding SA to ransom.

"We're not talking about massive amounts of money," acting Cricket Australia chief Mike McKenna said.

Mr McKenna also moved to quash suggestions the Boxing Day Test could be moved away from the MCG, saying that was "absolutely not correct".

"We've got no plans whatsoever to move cricket and the Boxing Day Test," he said.

"What we are talking about, to both the Victorian Government and other state governments, is the opportunity to use the great events that we have already in their states to promote their states.

"We're just trying to get them to spend money that they spend already on cricket rather than other sports."

This year's playing rights at Adelaide Oval are not under threat, with the ground vying alongside Bellerive Oval and The Gabba for the right to host the first day-night Test match against New Zealand later this year.

"We need to make sure that New Zealand Cricket as well as Cricket Australia and all the players involved are happy with every aspect of this game and that includes the location," Mr McKenna said.

Cricket Australia is expected to release the full summer fixture next week.

"The ball is back in Cricket Australia's hands," Mr Bignell said.

"I think it's cricket that would be the loser if [Cricket Australia] took away a Test match from South Australia when we know it's one of the highest attended Test matches in any series."