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City will conclude their pre-season schedule with a trip to Sky Bet League One side Barnsley on Saturday 1 August (7pm KO).
The match at Oakwell forms the second part of a double-header for the Imps, following an earlier fixture against Doncaster Rovers at Club Doncaster Sports Village (3pm KO).
Away fixtures against Boston United and Grimsby Town have already been confirmed, while City will also take on Leyton Orient as part of their warm-weather training camp in Spain.
Ticket details will be announced in due course. There will be no more public fixtures added to the schedule.