Cattermole was captain under Steve Bruce and Martin O'Neill but missed out on the pre-season trip to Hong Kong for the Barclays Asia Trophy as he recovers from a knee injury.
Summer recruit Cabral wore Cattermole's No 6 shirt in Wednesday's 3-1 victory over Tottenham and Di Canio was ambivalent when asked if would remain at the club.
"He couldn't come (to Hong Kong) because he was not fully fit, in the opinion of both myself and the fitness coach," said the Italian.
"He is training with the reserves and then when we get back to Sunderland, he will be ready."
When asked if the £6m signing had a future with Sunderland, Di Canio added: "We will see. It depends."
Meanwhile, Di Canio issued a positive update on the progress of injured striker Steven Fletcher.
The Scotland international underwent ankle surgery in April but was still the club's top goalscorer last season with 11 goals, despite missing the final eight games of the campaign with the problem.
"He is improving, he has improved a lot," said Di Canio.
"We can't say how much longer it will take, but there is a big improvement and we know all about the problem.
"We are very happy with his progress and we are waiting for him."