Since an absolute stable strange quark matter (SQM) was conjectured, based on a simple model known as the MIT bag model, different versions of density dependent quark models were proposed, but they lack thermodynamic consistency. By using a thermodynamically consistent quark matter model called equiparticle model, based on a density dependent mass, the quark confinement/ deconfinement transition is studied. In order to do that, the model is modified by the introduction of a dependence on the traced Polyakov loop at zero temperature. The thermodynamic potential is obtained and suggests that the model is now capable of describing confined and deconfined thermodynamic phases.