Kovacic drew mixed reactions from the Stamford Bridge faithful last season, but he is hoping that the arrival of Lampard will see him add goals to his game to make himself a fan favourite.
He said: "I'm looking forward to working with him a lot. He was an amazing player and he showed last season that he is a good coach as well. I'm looking forward to learning how to score from him because he scored quite a lot and me not so much last season!
"I'm maybe not exactly the same type of midfielder as he was but he had some strong abilities, especially scoring goals.
"He was a hard worker so I'm looking forward to being better in this aspect, in working hard, fighting on the pitch and scoring goals."