We analyze the damping of inflationary gravitational waves (GW) that re-enter the Hubble horizon before or during a post inflationary era dominated by a metastable right-handed neutrino (RHN), whose out-of-equilibrium decay releases entropy. Within a minimal type-I seesaw extension of the Standard Model, we explore the conditions under which the population of thermally produced RHNs remain long-lived and cause a period of matter domination. We find that the suppression of the GW spectrum occurs above a characteristic frequency determined by the RHN mass and active-sterile mixing. For RHN masses in the range 0.1–10 GeV and mixing , we estimate such characteristic frequencies and the signal-to-noise ratio to assess the detection prospects in GW observatories such as THEIA, -ARES, LISA, BBO, and ET. Additionally we use LIGO data to put upper bounds on the reheating temperature after inflation, for a given blue-tilted GW spectrum. We find complementarity between GW signals and laboratory searches in SHiP, DUNE, and LEGEND-1000. Notably, RHN masses of 0.2–2 GeV and mixing are testable in both laboratory experiments and GW observations. Additionally, GW experiments can probe the canonical seesaw regime of light neutrino mass generation, a region largely inaccessible to laboratory searches.