While the meeting takes place on Monday, Growden said he wouldn't expect to hear anything from Rugby Australia about any possible changes until later in the week.
It's been a tough period for the Australian national team since Cheika took the reins in late 2014. In 58 matches, they've staggered to 28 wins and as many losses, with two draws along the way. In that period, they lost to Wales for the first time, and suffered multiple defeats at the hands of Argentina and Scotland.
Growden suggested, should Cheika be sacked, the opportunity could be perfect for a number of New Zealand coaches looking to make the step up to the international level, while Australian Scott Johnson, who is the current director of rugby for Scotland Rugby, was another potential candidate.
"Why not look at Dave Rennie or Scott Robertson or another New Zealand coach? There is a bit of animosity towards New Zealand coaches here after Robbie Deans experiment, but Scott Johnson could do it with a couple of people here, could get Brad Thorn involved…there are options and there are quite a number of capable Australian coaches coaching overseas at the moment.
"There are some Australian coaches, but surely there are some New Zealand coaches who would want the challenge of coaching the Wallabies. It's not a bad job because they can't get much worse."