That's Frank Drake's answer to the Fermi Paradox. He doesn't think it is a paradox, because he thinks it's just a matter of time before SETI makes a detection. It's just that the search needs to be thorough enough since the aliens stick to their solar systems.
Jill Tartar has talked about how we would need to think about investing in a powerful radio beacon for 60,000 years if we wanted other aliens to know about us. That gives one an ideal of the scale of time and distance SETI is dealing with, assuming their assumptions are more realistic than Fermi's was.