United claimed a 3-1 victory in the same clash last season with Vale's only response coming via Luke Rodgers.
Dodds told BBC Radio Stoke: "I think the new manager (Micky Adams) is a Sheffield United fan, so he'll want to get one over on them.
"It's the same for us because we want to avenge our defeat from last year.
"It's a great pitch at Bramall Lane and Sheffield United are a massive club.
"If we can do what we did against Huddersfield in the FA Cup (a 4-3 win), it will be a great result for us."