You will need to check with the bank you are thinking of using. And it might be worth asking about fees, too.
I was sent a cheque from the USA (apparently it changed from a check to a cheque while it was flying over Ireland!

) it was for the equivalent of £15.00. The charge was £14.00!
If someone is going to pay you for something, here's what I did when I sent money to the USA. I bought US$ travellers cheques and sent them by registered, insured mail. But that might not be an option for you, and whoever is sending you the Sterling cheque, though.