Last week, a video emerged of the actor stating that he was keen to pursue a career in Hollywood after "another year" of the BBC sci-fi drama.
However, in a new interview quoted by What's on TV and other sources, Smith claimed that he does not want to give up his "wonderful" role.
"I love playing this role, and I don't want to give it up any time soon," he insisted. "We work very long hours every day for nine months. The schedule is pretty brutal, but I'd never complain about it."
Smith - who turns 29 today - added that he feels "very lucky" to have been playing the Doctor since 2010.
He explained: "In the current climate for actors, I'd never say, 'This is too much [work]'. Quite the opposite, in fact. I'd say, 'Bring it on'."
Doctor Who will return to BBC One this Christmas for a festive special.
> Doctor Who Peter Davison: 'Anniversary return seems unlikely
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