AC magnetic susceptibility of a single crystal of MnSi was measured along the ferromagnetic phase-transition line up to a pressure of 0.8 GPa created by compressed helium. The results show that the tricritical point is situated at much lower pressure and at significantly higher temperature (P tr ∼ = 0.355 GPa, T tr ∼ = 25.2 K) than was reported previously (∼ 1.2 GPa, ∼ 12 K). These new observations put certain constraints on the origin of the tricritical point in MnSi. PACS numbers: 62.50.+p, 64.60.Kw, 75.30.Kz Recently, there has been a considerable interest in studying the magnetic phase transition in the intermetallic compound MnSi [1,2,3,4,5,6,7,8,9,10,11], which reveals weak ferromagnetic properties slightly below 30 K with spins having been ordered into a long wavelength helical structure [12,13]