I've had no problems going the other way; leaving a current account in the States and pulling it over.
Just wanted to mention, though, that the current exchange rate of about $1.45 to the pound is, if memory serves, pretty much average. I've been coming to the UK since the mid-Nineties. The two dollars to the pound we saw for a couple of years there was extraordinary (I remember because it was painful).
The pound may be weak, but so is the dollar at the moment.