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Magnetization measurements at 1.8, 4.2 and 9.6 K at fields up to 19 tesla on the intermetallic Laves phase compound TiBe2 reveal a non linear behaviour of the susceptibility : the magnetization increases at first faster than the magnetic field up to 7 T and then curves towards the field axis. By comparison the compounds Ti(Be0.95Cu0.05)2 and Ti(Be0.9Cu0.1)2 display a ferromagnetic character whereas the compound Ti(Be0.99Cu0.01) 2 appears less magnetic than TiBe2, We infer from these facts that TiBe2 is a very strongly exchange enhanced paramagnet and compare it with Pd and YCo2