Victory for the Latics would hand Chelsea the title - of they were to avoid defeat to Bolton - and Terry said: "Wigan are on a great run, they came to Stamford Bridge and put on a very good performance.
"They'll do the Premier League justice and go out there wanting to beat Manchester United. We've worked our socks off all year, so we would be disappointed if they didn't.
"Wigan are safe now and with a great manager like Steve Bruce, they're going to go for it."
After victory at Newcastle, Terry added: "We needed to win to put the pressure on United. We've said all along that all we can do is our job. We were a bit slow in the first half at times and we got a bit of a rollicking at half-time."