Composition (A) containing, for 100% of its mass: from 10 mass % to 90 mass % of N-lauroyl proline (I) and from 10 mass % to 90 mass % of an ester (II) of anhydrohexitol and of a saturated or unsaturated, linear or branched aliphatic carboxylic acid containing from 12 to 20 carbon atoms optionally substituted with one or more hydroxyl groups, or of a mixture of esters (II); use thereof for preparing a medicament with lipolytic activity, intended to induce slimming of the human or animal body and/or the reduction of cellulite or of the orange-feel appearance; cosmetic formulation or therapeutic composition containing same; process for the preparation thereof and process for the solubilization of N-lauroyl proline (I) in a liquid medium.