ALICE is the experiment dedicated to the study of the quark gluon plasma in heavy-ion collisions at the CERN LHC. Improvements of ALICE sub-detectors are envisaged for the upgrade plans of year 2017. The Muon Forward Tracker (MFT) is a proposal in view of this upgrade, motivated both by the possibility to overcome the intrinsic limitations of the Muon Spectrometer, and by the possibility to perform new measurements of general interest for the whole ALICE physics. The measurement of the offset of single muons and dimuons will permit to disentangle open charm ($c\tau \sim 150 \mu$m) and beauty ($c\tau \sim 500 \mu$m) production. The MFT, thanks to its tracking capabilities, will allow to improve the mass resolution of the resonances for a better separation between $\rho/\omega$ and $\phi$, $J/\psi$ and $\psi'$, and $-$ to a lesser extent $-$ $\Upsilon$ family resonances. In addition, it will help to reject a large fraction of muons coming from pion and kaon decays, improving the signal over background ratio. In order to evaluate the feasibility of this upgrade, a setup composed by five silicon planes was simulated within the AliRoot framework. In this report, we present preliminary results on the MFT performances in a low-multiplicity environment.