The versatile defender has been training at the Stadium of Light over the past week and will undertake a mini pre-season campaign in order to boost his fitness ahead of a potential switch.
When quizzed on the situation, Allardyce explained how Eboue will undergo a fitness regime, while pointing out his bubbly character and fantastic pedigree as traits which have impressed him.
“He’ll do a mini pre-season – mornings and afternoons, with a couple of Under-21 games and when we come back, we’ll probably have a behind-closed-doors game and decide whether to do it or not (offer him a contract),” Allardyce told the Sunderland Echo.
“Getting him fit, but not getting him injured is the most important thing in the next two weeks. He trained yesterday and wasn’t bad. He’s a bubbly character, which I like.
“Emmanuel Eboue has got a fantastic pedigree at Arsenal and if he’s got the capabilities of producing that here, then we’ll assess that over the next few weeks.
“He’s obviously not played for a long time, so our aim is to see if we can get him fit and then see if he produces the sort of performance that benefit us.”
Eboue, 32, spent six years at Arsenal before leaving the club for Galatasary in 2011. During his time with the Gunners, he made 132 Premier League appearances and displayed his versatility by performing at centre-back, fullback and occasionally in midfield.
Providing Eboue wins a contract at Sunderland, he will provide Allardyce with more options and his winning mentality – having won multiple trophies with Galatasary – could prove invaluable.
The Black Cats currently find themselves in the relegation mire and while performances have been good, a lack of real quality in both boxes and a shortage of fortune has ultimately been their downfall.