The actor, who will reprise his role as President Thomas J. Whitmore if the sequel gets made, told CraveOnline that there has been some progress on the project.
"Within a year [they might start shooting], yeah, something like that I guess. I worried about taking this part because it's heating up," he said.
Pullman also revealed that there is a contingency plan in place should Will Smith choose not to return for the sequel, confirming the existence of two versions of the Independence Day 2 screenplay.
"The Will Smith part of it may be ongoing but I think there's strategies for both. I like what I have to do in both of them," he added.
"I'm not in an old age home in a wheelchair being wheeled out for one more moment. It's a very interesting conception of what happens to Whitmore between then and when it picks back up."
Two sequels to Independence Day, tentatively titled ID Forever Part One and ID Forever Part Two, were reported to be in the planning stages in September last year.
Watch a trailer for Independence Day below: