Could be all sorts of things, but there's a lot to sort out about time. In one set of theories, time is just a (weird) dimension like space, but in thermodynamics, time has a fixed direction (as in you can distinguished forwards from backwards). There are problems of that sort still to be resolved, matching it all together. I expect it's the same problem as that he was talking about.
Alternatively it could be the idea that all of space and time are in some sense fixed, and we are moving along world lines in that spacetime. Sixty years ago perhaps such a picture would be troubling, because it can imply that everything "has already happened" in a certain sense. I'm not sure it's quite so troubling now, or at least we are more used to it.
Anyway, there are a number of things he could have meant. How much of a serious problem they are depends on your point of view, but a lot has changed since he was writing.