Swansea head coach Paul Clement hopes a decision about Gylfi Sigurdsson's future will be made by the end of the week.
The Swans have rejected two bids from Everton - with the last believed to be worth £45million - for the Iceland midfielder.
Sigurdsson missed the club's tour to the United States after withdrawing following interest from the Toffees, with the club saying he was 'not in the right frame of mind'.
The 27-year-old has since rejoined training but will not feature in Swansea's next friendly.