The potentialities of MIMAC-He3 , a MIcro-tpc MAtrix of Chambers of Helium 3 , for supersymmetric dark matter search are discussed within the framework of effective MSSM models without gaugino mass unification at the GUT scale . A phenomenological study has been done to investigate the sensitivity of the MIMAC-He3 detector to neutralinos ( { M _ { \tilde { \chi } } } { \gtrsim 6 \mbox { $ { GeV / c ^ { 2 } } $ } ) } via spin-dependent interaction with ^ { 3 } { \mathrm { He } } as well as its complementarity to direct and indirect detection experiments . Comparison with other direct dark matter searches will be presented in a WIMP model-independent framework .