The 29-year old Ghanaian opened proceedings at Hillsborough with a left-footed shot from close range in the 32nd minute for a 1-0 first-half lead.
The home team rallied back late in the game with Fernando Forestieri and Morgan Fox hitting the target in the closing nine minutes of the match.
⏰ 32' | 🔵 0-1 🦢— Swansea City AFC (@SwansOfficial) 9 November 2019
GET IN!!! 🙌🙌🙌@AyewAndre puts the #Swans in front as he pounces on the loose ball from @Matt_Grimes8's corner to prod home.
💻 Match Centre 👉 https://t.co/zP0w50e32X#SHWvSWA | @SkyBetChamp pic.twitter.com/OJ20wNXN2y
It looked like Swansea were going to suffer their first away league loss of the season, however, Ben Wilmot scored at the death to ensure they headed back to South Wales with a point in the bag.
The Jack Army remain unbeaten in eight away Championship games, winning four and drawing four. They have also accumulated more points on the road (16) than they have at home (13).
Ayew completed the 90 minutes for the 11th time in 14 matches this season, taking four shots (three on target), 57 touches and 26 accurate passes (74.3%).