The winger is still training with the Black Cats’ under-23 side having been told he is free to leave the club this month.
And while Parkinson claims that no ‘firm enquiries’ have been made for the former Celtic and Everton man, he is confident interest will ‘pick up’ in the next week.
“Not at the moment,” he said, when asked if the winger was close to an exit.
“There’s been no firm enquiries, certainly to me, about Aiden.
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“But I would imagine that in the next week or so, things will pick up in that area.”
Championship trio Middlesbrough, Hull City and Wigan Athletic have all been credited with an interest in McGeady, while there is also believed to be MLS sides monitoring his situation.