That is according to TEAMtalk, who have claimed the Blades are considering offering a short-term deal to the experienced playmaker.
The 33-year-old is currently a free agent having left Nottingham Forest following the conclusion of the 2022/23 campaign.
He made 13 appearances for Forest last season after joining in February from Al-Sadd.
In England, Ayew is best known for his two spells with Swansea City and his time at West Ham United.
The Blades could potentially bolster their ranks with a free agent if a space is left open in their registered list of players.