There have been no recorded thylacine sightings on mainland Australia in modern (European) times. Tasmania is certainly its last hope, and that hope is very small indeed. What might be called "reliable" evidence such as tracks, scat and vocalizations were last recorded during searches in the 1960s, although these were inconclusive. Since then it's been reported sightings only, occasionally accompanied by dubious photographic evidence.
While it's likely that individual thylacines lived beyond the 1930s, it's essentially impossible, ecologically speaking, that any remnant population was large enough to sustain the species to the present day.