AFAIK time and space are closely intertwined. If we suppose one cannot exist without the other and if we assume the universe will never shrink to the point of singularity, "time" will go on forever?
IDK man! I came across the idea of Big Bounce and Big Crunch and I thought if there is no space, there is no time either. Then again our conception of time, space, and "infinity" are probably limited.