Cosmetic composition based on a supramolecular polymer and a silicone compound

Cosmetic process for making up and/or caring for the skin and/or the lips, comprising at least the application to the said skin and/or the said lips of a composition comprising, in a physiologically acceptable medium:

• at least 2.5% by weight relative to the total weight of the composition of at least one supramolecular polymer based on functionalized polyalkene of formula HO—P—OH in which P represents a homopolymer or a copolymer that may be obtained by polymerization of one or more linear, cyclic and/or branched polyunsaturated C2-C10 and preferably C2-C4 alkenes, which may be derived from the reaction, especially the condensation, of the said functionalized polyalkene polymer with at least one junction group functionalized with at least one reactive group capable of reacting with the reactive group(s) of the functionalized polyalkene polymer, the said junction group being capable of forming at least 3H (hydrogen) bonds, preferably at least 4H bonds, preferentially 4H bonds,
• and at least one silicone compound with a viscosity of less than 10 000 000 cSt at 25° C.