The Croatian international has shown his quality under the young English manager after making his initial loan move permanent in the summer.
Kovacic had a limited goals and assists contribution last season, but he believes that he is allowed to express himself more in attacking situations under Lampard.
Asked if he has improved from working under a former midfielder in Lampard, Kovacic told reporters: "I don't know!
"I think I'm playing a good season under him, but I think I can do even more.
"I have good communication with him, I am working on my bad sides I have in my game, I am talking to him a lot and analysing my game.
"I think I'm becoming a better player, but this is normal because I am getting more mature, I am in a good age, and I feel good."
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