Sunderland announce joint management team for Middlesbrough clash
Stockdale has been at the club since 2012 and has worked under a number of first team managers.
McKinlay, former assistant to David Moyes at Real Sociedad, has had stints in charge of Watford and Norweigan side Stabaek.
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Hide AdMoyes brought him to Wearside last year in a scouting capacity, but an illness to Simon Grayson's assistant Glynn Snodin saw him temporarily promoted to the first team coaching set-up.
The Black Cats are likely to make a permanent appointment during the international break, with Milwall the next visitors to the Stadium of Light on November 18th.