The 34-year-old former Napoli and Lyon defender signed a deal with the Black Cats until the end of the season earlier this week.
Having been training with the club for a number of weeks, head coach Gus Poyet decided to complete a deal for the French international in the aftermath of the 8-0 thrashing at the hands of Southampton, signing him on a free transfer until June 2015.
Poyet has confirmed that Reveillere will be included in this weekend’s matchday squad, with the Black Cats hosting Arsenal at the Stadium of Light, with a number of injuries - as well as poor performances put in during the Southampton game - leading the Uruguayan coach to make three or four changes for the tie with the Gunners.
However, Reveillere must receive international clearance by 1:45pm on Saturday if he is to be included, with Poyet having to submit his official team sheet by that time.
Speaking to the Chronicle, Poyet confirmed that the right-back would definitely be in the squad, but is, as of yet, undecided on whether the 34-year-old will be thrust into his first start for the club.
He said: “We are waiting for international clearance and checking everything, and that will decide whether he is involved or not.
“He is going to be in the squad, for sure, because we are short of defenders.
“Whether he starts or not is a different matter.”
Having played his last competitive fixture in May, Poyet has been understandably concerned with Reveillere’s fitness, although he believes that the fortnight spent training with the Black Cats has made him one of the fittest members of the first-team squad.
"When you get a player who has been out for three or four months, you need to see how he is feeling,” the former Chelsea and Spurs man added.
“You need to make sure that, at Anthony’s age, he has maintained himself, and he has done that.
“We did a fitness test and he was close to the best at the club, so it’s just a matter of getting him back playing football again.”