The Owls will head to Sincil Bank on Friday, July 13 in a 7.30pm kick-off.
The reigning Checkatrade Trophy holders were beaten in the League Two play-off semi-finals by Exeter City last week.
July's friendly will be the first meeting between Wednesday and Lincoln in 39 years.
The Owls triumphed 3-0 in a FA Cup first round tie in November 1979.
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This is the first confirmed pre-season fixture for Wednesday, who have announced they will not be taking their usual training camp abroad this year.