The Frenchman picked up a knock in Saturday's Champions League final, but the Bayern coach believes the injury isn't too serious
The France international sustained an ankle problem after being fouled by Didier Drogba inside the area in the 93rd minute, and was forced to leave the pitch only minutes later due to the knock.
Ribery has yet to undergo further examination to determine the extent of the injury, but his physical problems don't seem to be too serious.
"We don't know the exact nature of the injury yet, but I do not think that it is too serious," Heynckes stated to reporters.
The 29-year-old was included in France's 27-man provisional squad for Euro 2012. Les Bleus take on England, Sweden and Ukraine in the group stage of this summer's tournament.