PACS. 61.25.Hq -Macromolecular and polymer solutions. PACS. 82.35.+t -Polymer reaction and polymerization. PACS. 61.25Hq -Macromolecular and polymer solutions; polymer melts; swelling.Abstract. -The osmotic pressure P in equilibrium polymers (EP) in good solvent is investigated by means of a three dimensional off-lattice Monte Carlo simulation. Our results compare well with real space renormalisation group theory and the osmotic compressibility K ∝ φdφ/dP from recent light scattering study of systems of long worm-like micelles. We confirm the scaling predictions for EP based on traditional physics of quenched monodisperse polymers in the dilute and semidilute limit. Specifically, we find P ∝ φ 2.3 and, hence, K ∝ φ −0.3 in the semidilute regime -in agreement with both theory and experiment. At higher concentrations where the semidilute blobs become too small and hard-core interactions and packing effects become dominant, a much stronger increase is evidenced and, consequently, the compressibility decreases much more rapidly with φ than predicted from semidilute polymer theory, but again in agreement with experiment.