The Romanian defender featured from the offset in the Nerazzurri's victory, but was forced to stay behind in the dressing room at half time due to the problem.
Chivu underwent further examinations on Friday to determine the extent of the knock, and Inter have since announced that the 31-year-old has dislocated the second toe on his right foot.
It is not yet known exactly how long the centre-back will be out of action, but Chivu is now considered a doubt for the second leg of his side's European qualifier.
Chivu recently signed a contract extension with Inter that ties him until the summer of 2015.
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