The variety of morphologies observed in the particle deposits produced by solvent evaporation may be ruled to a large extent by contact line dynamics and in particular, by self-pinning events described by the contact line. If the number of particles in the suspension bulk increases, more particles should be transported toward the contact line during evaporation. Increasing times of contact line pinning should lead to the same effect than particle concentration. In this work, we investigated the different ring-like deposits obtained at driven receding contact lines by varying separately nanoparticle concentration and pinning time. We used a recent methodology based on "shrinking" sessile drops to mimic the contact line dynamics of freely evaporating drops. Unlike drying drops, with this methodology the particle concentration in the drop bulk is assumed to remain mostly constant during the entire process. We concluded that no nanoparticle deposit is formed if the pinning time is reduced below a critical value for a given substrate-particle system. However, an increase of pinning time enables the ring formation even at low particle concentrations.