The present invention relates to a liquid cosmetic composition for making up and/or caring for the skin and/or the lips, comprising, in a physiologically acceptable medium, at least one oil, which is preferably non-volatile, at least hydrophobic silica aerogel particles having a specific surface area per unit of mass (SM) ranging from 500 to 1500 m2/g and a size expressed as the volume-mean diameter (D[0.5]) ranging from 1 to 1500 &mum, at least one block ethylenic copolymer (also known as a block ethylenic polymer), containing at least a first block with a glass transition temperature (Tg) of greater than or equal to 40° C., and at least a second block with a glass transition temperature of less than or equal to 20° C., the said first block and the said second block being connected together via a statistical intermediate segment comprising at least one of the said first constituent monomers of the first block and at least one of the said second constituent monomers of the second block, and the said block copolymer having a polydispersity index I of greater than 2.
