"We both have not played as well for England as we have for our clubs, particularly over the last two seasons," he said. "I think if we had done, we probably would have qualified for the Euros, but we haven't.
"It's something to work on and for the manager to decide the best way forward. I would like to think it can work.
"I don't think we are stupid players and I don't think we are egotistical. We both care passionately about playing for our country, and we both want to play well.
"It certainly should work in theory and it is up to us to make it work.
"When you look at how we both play for our clubs, if we can play somewhere near to that level that would be a bonus for England."
The 30-year-old Chelsea midfielder feels the new coaching regime, appointed after Steve McClaren's failure to qualify for Euro 2008, might just give the partnership the chance to finally come together effectively.
"Maybe we are in a better environment for it to improve now," he said.
"I am not saying we didn't train hard before, but there is a lot more emphasis on the tactical work now.
"We will be doing a double training session tomorrow and there will be a lot of work put into these things."
Lampard added: "In the past we probably did just discuss it in the dressing room and say 'If one sees the other go, they stay back'.
"But there's no better environment to learn than with Capello and the way we are working now.
"Maybe now it is just a matter of time - although let's hope it's not too long because we are not getting any younger."