Edward the Confessor died in January of 1066 but it wasn't until September of that year that war broke out over his successor. The story of Harold Godwinson defeating the army of Harald Hadrada in Yorkshire then immediately marching his forces one hundred miles South to see off a completely different set of invaders, only narrowly failing, is a famous one, but I've only just come to wonder about how close together the invasions were. Did William know of Hadrada's plans and choose to mount his assault when the Saxons were weakened? I suppose I'm interested in whether information could have propagated that quickly a thousand years ago, but if there was no kind of coordination it's just as interesting how history pivots on such vague chance; if Godwinson had more time to prepare then could the Normans have been seen off?
A very similar question was asked not long ago. The answer seems to be that William did not know about the Scandinavian invasion plans beforehand and he didn't intend to capitalize on a weakened enemy. It was indeed just convenient happenstance (from William's perspective, of course).