The duo were synonymous with the Blues success under Jose Mourinho and the following managers.
They lifted the Premier League, FA Cup and countless other trophies with the London club.
And Lampard hopes he can find similar defensive solidity in his team in the coming months.
"You want to get settled relationships, but if we are making individual errors, some can be collective, but individual errors or multiple errors into goals which we've seen recently against West Ham and Sheffield United, then you have to take that into account," Lampard told reporters through Zoom, via Goal.
"At the same time, I don't want players to think they will be out of the team if they make one mistake so there is a balance to that. But clearly, we haven't found that partnership in that area that I've settled on and that's something we're striving for.
"There is a way that I want us to play and it's not gung-ho, it's not crazy. A lot of the goals are the balls that come into our box that maybe we don't defend right at that moment and that's something that has to improve and I feel I know the answers to it.
"I hate conceding goals. I don't think any team in modern football are going to say: 'We've got that partnership.'
"You go back and talk about a John Terry-Ricardo Carvlaho partnership, but in the modern day, I don't think you will find too many clubs to name the two.
"You want to be able to say to players: 'you are not doing enough'. I don't think it's about just a partnership. Can we be more settled if we improve? Yes, for sure. Will it be just two players who are going to be your centre-backs? I don't think that's going to be the case."