The veteran musicians recorded a handful of new songs for a 2012 greatest hits album, Grrr!, which was released last year (12) to coincide with the band's 50th anniversary shows, and Wood has now suggested they might follow their current 50 & Counting tour with a new disc.
However, he insists the rockers just need to find the time to head into the recording studio.
He tells American radio station Wzlx, "It takes so much time and effort to take this thing back on the road, (but} we've got the big wheels rolling now. We've just got to find the gaps to record."
The band's frontman Sir Mick Jagger recently suggested he was reluctant to release any more material because fans don't want to hear new songs at the gigs.
He said, "It would be nice to have a new album, but people don't like the new album when you play it on stage. They glumly look at you. 'Ok, it will be over in a minute.' It's not a good excuse, but it's the truth and has to be said."