The former Bolton loanee is starting to have a big presence in the Chelsea squad and Lampard is confident that will rub off at international level.
"There is no doubt Daniel will break through at international level," Lampard told The Sun. "It's just a matter of when it happens for him.
"He can be a great player for Chelsea and for England. He has skill, unbelievable speed off the mark and he can finish. What more can you ask?
"He brings the excitement that supporters crave and his pace gives him the ability to beat his man and create a goal out of nothing."
Lampard added: "His time with Bolton gave him the confidence that he could do it in the Premier League.
"He never got the chance here so he went to Bolton, scored regularly and returned to Chelsea for pre-season training with a spring in his step and showed he is going to be a top-drawer player.
"You can see the manager trusts him from the fact he has thrown him straight into the team this season."