In a strong Owls side including Rob Burch, Lee Bullen, Peter Gilbert, Jermaine Johnson and Deon Burton along with many other players with first-team experience, Wednesday will be happy to give some players valuable run-outs during the two-week break.
Jeffers tapped in from Johnson's early cross to give Wednesday the lead before being replaced at half time by Akpo Sodje.
Tudgay, on for Burton after the break, finished well from close range on 74 minutes to put The Owls 2-1 up after Hull's 15th minute equaliser.