A gelled composition includes at least 50% by weight of at least one hydrocarbon oil that includes a content by weight of isoparaffins ranging from 90 to 100%, a content by weight of normal paraffins ranging from 0 to 10% and a content of carbon of biological origin greater than or equal to 90% relative to the total weight of the hydrocarbon oil, and at least 1% by weight of at least one gelling agent chosen from among: polymers chosen from homopolymers and copolymers obtained from at least one monomer chosen from among isoprene, butadiene, styrene and (meth)acrylates, and the mixtures of same, and non-polymer gelling agents, relative to the total weight of the gelled composition.