Varney has joined the Owls on loan from Derby but was guilty of missing several chances on his debut in the win over Scunthorpe at the weekend.
However, Tudgay, who scored his first of the season against the Iron, does not believe it will be long before Varney finds the back of the net.
"Luke hasn't played a lot of football this season. When he gets his fitness and his sharpness back he'll be seeing those go in," Tudgay told the Sheffield Star.
"I'm very pleased that I've got off the mark, the last few games had been a frustrating. I'm confident in my ability and know the goals will come.
"My target is always to beat the number I scored in the previous year."