Microprocessor chips employ increasingly larger number of thermal sensing devices. These devices are networked by an underlying infrastructure, which provides bias currents to sensing devices and collects measurements. In this paper, the authors address the optimization of the bias current distribution network utilized by the sensing devices. They show that the choice between two fundamental topologies (the 2-wire and the 4-wire measurement) for this network has a non-negligible impact on the precision of the monitoring system. They also show that the 4-wire measurement principle supports the remote sensing technique better. However, it requires more routing resources.