Ayew, 23, came up through the ranks at Marseille alongside his brother Andre Ayew, and after the elder sibling completed a move to Swansea City earlier this summer, Jordan could also head to England too.
The Ghanaian international hit 13 goals for Lorient last season having left Marseille in search of first-team football, and his decision paid off with a superb campaign.
However, Villa could face competition for Ayew's signature, with Crystal Palace and Everton also interested according to the reports.
Lorient are allegedly looking for a fee of €12m (£8.5m) for Ayew, which has priced Lille out of a move to sign him - making a move to England all the more possible this summer.
What would Ayew offer Aston Villa?
Aston Villa could lose star striker Christian Benteke this summer, and whilst Ayew possesses a goal threat, he couldn't be further away from Benteke's style of play.
Benteke uses his huge frame and great strength to bully defenders, whereas Ayew - who can also play out wide - is quick and skilful, arguably to the point where he could be seen as the ideal partner for Benteke rather than a direct replacement.
His goal record with Lorient last season was impressive, and he proved that he can score goals on a regular basis with first-team football under his belt - something he would need at Villa if he were to join.