After the 2-1 defeat to Macedonia, Coleman said that he had agreed a new two-year deal, although it has yet to be signed.
"We have always said we are happy with Chris and we are happy with the work he is doing. He is a good guy and I would fully welcome a contract extension for him," he told Walesonline.co.uk.
"We know we can play better as a team than we did on Friday but we just have to regroup and the good thing is we have another game coming up very soon where we can try and put things right."
Williams will miss Tuesday's match with Serbia after picking up a yellow card against Macedonia.