The present invention relates to a process for producing an organic acid by fermentation, comprising the process steps: I) cultivating microorganisms in a culture medium to which are fed, as assimilable carbon sources, glycerol and a further carbonaceous compound, to allow the microorganisms to produce the organic acid, thereby obtaining a fermentation broth comprising the organic acid; II) recovering the organic acid or the salt thereof from the fermentation broth obtained in process step I); wherein, at least for a certain period of time in process step I), the consumption rate of the further carbonaceous compound (CRc.c.; in g per liter per hour) is lower than the maximum theoretical consumption rate of the further carbonaceous compound (CRc.c. max; in g per liter per hour).