The dependability of highly dependable systems relies on the reliability of its components and interconnections. One of the most challenging faults that threatens the reliability of interconnections in a system are intermittent resistive faults (IRFs). They may occur randomly in time, duration and amplitude in every interconnection. The occurrence rate can vary from a few nanoseconds to months. As a result, evoking and detecting such faults is a major challenge. In this paper, IRF detection at the chip level has been tackled by utilising a fully digital insitu IRF monitor. This paper introduces a new algorithm for inserting IRF monitors in a design. The goal of this algorithm is to minimise the number of IRF monitors while providing a high fault coverage for IRFs. The algorithm has been validated using software-based fault injection. The simulation results show that the proposed algorithm improves the IRF coverage at the chip level at the cost of a small area and power-consumption overhead.