The Swans head to the bet365 Stadium having lost just one of their last eight league games, a run which propelled them back into the play-off places at the end of the last round of fixtures.
Stoke were 2-1 victors in the reverse fixture at the Liberty Stadium last October and Ayew - who scored on that occasion, acknowledges it will be another difficult game even as the Potters are out of the relegation waters with their most recent result being a 1-0 win at leaders West Bromwich Albion.
Stoke were also victors over the Swans at the Liberty – prior to O’Neill’s arrival – earlier in the eason.
All of which means top scorer Ayew and his team-mates are braced for a tough test, but keen to build on a positive run for Steve Cooper’s side.
“We always want to build on a good performance or a win. We haven’t lost a league game since Brentford in December so we want to keep that record away from home,” said the Ghanaian.
“Stoke will be a difficult game for us and they will pose a threat.
“It is important that we don’t look at their league position as they have very good players in the squad. We need to be prepared and ready for a tough game.
“Stoke have always been a difficult team to play and we lost to them at home, so we need to make sure we change that when we play them away on Saturday.”