The Dane made is debut in Wednesday night's Coppa Italia win over Fiorentina. Eriksen completed his switch from Spurs to San Siro on Tuesday, joining the Nerazzurri in a £16.8million deal.
And he was swiftly into the heart of the action in Wednesday's quarter-final clash, coming on as a substitute with 24 minutes remaining, replacing Alexis Sanchez.
"We did not intend to use Eriksen so soon, as he only started training with us yesterday, but Matias Vecino and Barella were the only available midfielders," Conte told Rai Sport.
"Eriksen has character and raises the quality level of the squad. I hope to get more players back, because we really are limited in the middle.
"We tried a system with a trequarista today to deal with the absence of Stefano Sensi and Marcelo Brozovic.
"Eriksen can play in a few different roles, and we'll see - it could be an option, but we need to work on it a lot more.
"We were rather forced into using the three strikers together because I found out about the problems in midfield."