Borini hammered home a loose ball on 21 minutes to the delight of the Anfield crowd and Rodgers insisted the youngster's capacity to find the back of the net and link with teammates means he will slot seamlessly into the side.
"He's an intelligent boy and a good kid," the manager told liverpoolfc.com. "He is fitting in very well and I thought he took his goal brilliantly as it was a difficult finish.
"The ball was up in the air and he showed good technique to get over it and finish it well. For strikers it's important to get off the mark early. They are normally judged on goals in games and that's why I brought Fabio here because I know that he can score goals.
"He's only 21 years of age and he's still got a lot of improvements to make but his work rate tonight and his ability to press the ball was excellent.
"He'll fit into our team very well. You can see that he links well with players, especially Steven Gerrard. They have got a good relationship both on and off the pitch.
"I thought he did very well along with all the others in the team."