Griezmann had been heavily linked with a 100million euros (£88million) move to Barcelona, having past year been a reported target for Manchester United.
French, one of the favorites to win the World Cup in Russian Federation, will head into their World Cup Group C opener in Kazan.
Barring Mbappe's goal in the 1-1 draw against the United States, there was little to like about France's disjointed play in its last warmup match and Australia will offer a tougher proposition than the Americans, according to Deschamps.
The World Cup victor said striker Olivier Giroud had had stitches to a head wound but would be able to play with protection, if selected.
This is the approach advocated by their coach Bert van Marwijk, who led Netherlands to the 2010 World Cup final.
Van Marwijk comes to Russian Federation boasting the peculiar achievement of having qualified Saudi Arabia for the World Cup, before leaving his position late in the campaign. "I'm more interested in the substance", said Deschamps, usually a strong disciplinarian. "To be honest with you, I already have a lot of other things to occupy myself with at the moment".
Kylian Mbappe (Paris Saint-Germain) and Ousmane Dembele (Barcelona) are the likely starters alongside Griezmann ahead of Thomas Lemar (Monaco) and Oliver Giroud (Chelsea).
From the most electrifying match to one of the most electrifying teams in the competition this time - France. Against the Americans, they created all France's unsafe moves and played several clever one-two combinations. He is a great player and the big players are always bosses in their team. "They are here because they have the quality to be here".
"This shows two things, firstly his loyalty and commitment to Atletico Madrid", Deschamps said.
Australia captain Mile Jedinak thumped the ball home to put the game level at 1-1. I don't like to talk about our age. "Our first goal is to survive the group".
"We can't wait for Saturday". You must believe in something.
"We've got a great group, with great individual players", midfielder Blaise Matuidi said.