Goals from Giacomo Bonaventura and Giampaolo Pazzini saw Milan emerge 2-0 winners at home to Cesena at San Siro - ending a run of two games without victory in Serie A.
Despite the three points, Milan still remain six points adrift of the European places in 10th position after 24 rounds.
Abbiati knows only a repeat performance will do against relegation-threatened Chievo at Stadio Marc'Antonio Bentegodi.
"It will be a difficult game," Abbiati told Milan Channel.
"Every team raises their game when they play Milan. We'll have to find the spirit that we had on Sunday against Cesena.
"We moved well in the first half, in the second half we weren't as good but [overall] I think we had a good game.
"That said, we haven't achieved anything, we're still low-down in the table. We need to be consistent in results and performances like Sunday to move up the table."
A Massimo Maccarone brace inspired Empoli as Chievo's two-game winning streak came to an end.
"In the first half we had our chances to score too but Massimo Maccarone's goal finished us off," Moran told Rai Sport after last week's match.
"Perhaps today for the first time we lacked concentration and didn't focus the way we usually do.
"Now we have to roll our sleeves up and get going again. We had been coming off some positive results."
