Back when I was in college, we were told the minimum delay that is perceptible as a distinct note is about 20ms. But, first of all, that is at best an average, and even then it is only under ideal conditions. But if you really want to test it, start playing a signal, and pan the dry and wet signals opposite of one another. Start with 0ms delay, and start dialing it up. Figure out where you start to hear a distinct repeat - I'm betting that it will be more than 20ms, so 1ms really doesn't matter.
Gabriel