But it was far from comfortable for Warne’s side who relied on goalkeeper Josh Vickers to make a number of important saves.
“Wigan have got a very good team as we saw here last Friday night,” Warne said.
“Going to Wycombe and winning when they were losing is very impressive and it will give them a right lift unfortunately.
“The bigger issue is that MK Dons keep winning as well so it is going to be a big game when we play them here.
“We are nine points clear with a game in hand so we just have to keep ticking the games down.
“My opinion is that we have to have better performances than Tuesday if we are going to pick up another five or six wins.”
The Millers will be boosted by the return to form of striker Freddie Ladapo, who scored twice against the Shrimps.
That made it three in three games since being recalled to the starting line-up following his decision to hand a transfer request in during the January window.
They are also boosted by the impending return of Rarmani Edmonds-Green following an absence with a hamstring injury.
Edmonds-Green has returned to training but he is unlikely to be involved for the long trip to Plymouth at the weekend.
Will Grigg, who Ladapo has replaced in the side, has undergone surgery on the hamstring injury which will keep him out for the rest of the season.
Defender Angus MacDonald is now fit to start following his long absence at the start of the season, but Warne says it is just a matter of him biding his time, with the Millers defence currently the stingiest in the league.