According to a recent report in the Northern Echo, Sunderland are keen on bringing in the talented forward and have been quoted a price of £14 million by the Welsh side.
Curtis, shedding light on the situation, has hinted to reporters that Sunderland may as well look elsewhere as his side are not willing to sell and certainly never to a potential rival.
“There was talk of him going to Sunderland or them making a bid," Curtis said. "But we wouldn’t even entertain that as far as I am concerned. He is one of a number of big players for us and we don’t want to lose anybody during the window."
Swansea sit just outside the relegation zone following Monday night’s slender victory over Watford after captain Ashley Williams scored the only goal of the game via a first-half header.
Sunderland, on the other hand, are currently in 19th position and four points adrift of safety despite beating the Swans 4-2 in an entertaining encounter at the Liberty Stadium last week.
There is no doubt the two are involved in a relegation scrap this season, and selling a key player to a direct relegation rival would be nonsensical – especially a player of Ayew’s importance.
The former Marseille man has been terrific this season, scoring seven league goals and providing one assist to date.