The British actor, who was previously said to be in the running to play the famous spy, said he would be open to becoming Daniel Craig's successor whenever he decides to step down.
"Yes, I think it would be wonderful. Daniel is doing an amazing job and he'll continue to do it for a bit. But if it ever comes to that, I'll cross that bridge when I get to it," he told Esquire.
His wife Helen McCrory, who appeared in Skyfall, has said he would be perfect for the role, telling Daybreak: "I think Damian is the next James Bond. I think he's charming, hot, intelligent and I can believe he could kill."
Damian, who has scooped awards for performance as Marine Sergeant Nicholas Brody in hit drama Homeland, revealed he has never been asked to play a superhero.
"I haven't, actually," he admitted. "But you just have to do what seems interesting at the time. If someone said, 'We want you to play Amazing-Man in the next Amazing-Man franchise', I suspect one year it would feel right, the next year it wouldn't."
The 42-year-old actor confessed how proud he was to have his Homeland alter-ego name-checked by Jay Z in his track F.U.T.W, where the rapper sings: "Feelin' like a stranger in my own land/ Got me feeling like Brody in Homeland."
The actor said: "It's one of the coolest things that's ever happened to me. My natural habitat is quite a long way from, you know, a gangster rapper. So the fact I've somehow straddled popular culture to find myself name checked - From the RSC...To the Jay Z."
The full interview with Damian Lewis can be seen in the October issue of Esquire, which is on sale on 5 September.
The current Mr Bond...