The injury forced the prolific goalscorer to watch on from the sidelines as his teammates trained on Tuesday ahead of the match, with Cavani the only player not able to take part in the session.
France are at just 1.44 to make it to the final four with Uruguay priced further afield at 2.62.
Likewise, Uruguay's goal leader Cavani is dealing with a calf injury but looks like he might be fit enough to start the game.
Cavani, 31, scored both goals as Uruguay booked a quarter-final with France next Friday - but left the pitch with 16 minutes remaining.
Portugal have lost each of their last nine World Cup games in which they've conceded the first goal. "I think all of us have come here to play and when our moment comes we will be ready for it to help Portugal win", he said.
Yerry Mina's stoppage-time header threatened to change all that, but a first World Cup win on penalties in four attempts gives Gareth Southgate's men reason to believe this time really will be different.
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"We have many young players and it is important to have our captain there". They scored a lot and won their place in the knockout round easy, but they haven't faced any real challenge yet.
If he has not recovered in time, he could replaced by Cristhian Stuani, who has played 42 times for Uruguay, just 16 fewer than Griezmann has appeared for France.
"Today we committed a mistake that led to the equaliser but we have a very strong team in terms of mindset", Tabarez added, citing the value of his team's "intensity, focus and tactical intuition".
We have had 2 first-time winners in the last 5 World Cups - France in 1998 and Spain in 2010.
On Saturday, they faced a team who did the same things more effectively as they went down to only their second defeat in 28 competitive matches under the grizzled Santos. Named as World's best player on five occasions by Federation Internationale de Football Association, he led his country to win the first European Championships trophy in 2016.
"I've always had at least one or two Uruguayans at my clubs", said Griezmann, who hung out with Diego Ifran at the San Sebastian club and then Christian Rodriguez on his arrival at Atletico Madrid, where he has also formed close friendships with Jose Gimenez and Diego Godin.