The midfielder twisted awkwardly in the opening minute of Les Bleus' friendly win over Estonia on Tuesday but managed to last 65 minutes before being replaced by Laurent Koscielny.
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|11/1||France are 11/1 to beat England 2-0 with William Hill|
"I have a little pain in the tendon, but I was reassured by the doctors," Diarra was quoted as saying by RMC.
"The inflammation is not too serious. After [the injury], I did not want to take risks, because we must be vigilant for the early days of the competition."
The news will come as a boost to France coach Laurent Blanc, who could be without the services of injured duo Yann M'Vila and Blaise Matuidi for the tournament opener against England on Monday.