Dave Jones' side must win to make sure of survival themselves, although they could lose and stay up if other results go their way.
The Owls hope to have the two Johnsons available for the fixture. Defender Reda has not featured since the 2-1 defeat to Leeds due to a foot problem while winger Jermaine was forced off with a hamstring injury during the draw with Ipswich.
On-loan full-back Jeremy Helan is expected to overcome a dead leg to retain his place in the side.
Wednesday go into the game one point above the drop zone and will need to end a four-game winless run to ensure a second campaign back in the npower Championship.
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