A compact device for an optical frequency stability transfer based on a cavity referenced to a molecular transition at 1.5 μm is described. The setup is essentially fibered and uses commercial components: a tunable confocal cavity, extended cavity laser diodes, a distributed feedback laser (DFB) laser, and a H13C14N cell. The phenomena that limit the stability are carefully studied. It is shown that the short-term stability is limited by the spectral purity of sources and the long-term stability by the residual amplitude modulation inherent to our current setup. The stability transfer of the molecular reference over 7 nm is demonstrated at a level of 10−10 in relative value, limited by the detected molecular linewidth. Improvements to the device are studied, and it is shown that a stability transfer at a 10−12 level could be achieved.