Griezmann has a haematoma on his left foot but Atletico said "an injury to the bone was ruled out" after an X-ray.
The 25-year-old is his team's top scorer in La Liga with six goals.
Atletico host league leaders Real at the Vicente Calderon trailing them by six points after 11 games.
Griezmann has returned to Madrid, meaning he will miss France's friendly against Ivory Coast on Tuesday, and will start treatment on Monday.

The Dow Jones fell 23.15 points to 18,529.42.
The wider S&P 500 was 1.23 points lower at 2,182.64, but the tech-heavy Nasdaq index gained 6.22 points to 5,244.60.
The announcement that US cancer drug firm Medivation would be purchased by pharmaceutical giant Pfizer sent its shares soaring 19.7%.
Pfizer shares were down 0.4%.
Crude prices fell 3.4% on signs of rising supplies. Brent crude fell to $49.16 a barrel, while US oil dropped to $47.43.
Oil giant Chevron dropped 0.4%, and Marathon Oil sank 7%.
Aside from the oil price fall, investors are cautious ahead of the annual meeting of central bankers later this week in Jackson Hole, Wyoming.
"It's oil and then we've got Jackson Hole hanging over us, and there is always some surprise that comes out of Jackson Hole," said Jack Ablin, chief investment officer at BMO Private Bank, in Chicago.
Federal Reserve chairwoman Janet Yellen will deliver a speech on Friday, which will be scrutinised for clues as to the timing of the next US interest rate rise.
Computer chipmaker Intersil jumped 19.8% after a report that Japanese firm Renesas was in the final stages of negotiations to buy it for $2.99bn.
Atletico Madrid forward Antoine Griezmann is a doubt for Saturday's derby against Real Madrid but did not suffer a broken foot in France's 2-1 win over Sweden on Friday.
[NEXT_CONCEPT]
(Closed): US shares were mixed, as a rise in biotech stocks offset a fall in energy shares caused by a sharp drop in the oil price.