The band played a pair of 50th anniversary concerts at The O2 Arena in London as well as three gigs in the US late last year, where they were joined by Lady GaGa and Bruce Springsteen.
Jagger fuelled persistent reports of further concert dates in 2013 during a recent interview with Rolling Stone.
"There have been quite a few offers," Jagger teased. "I'm going to see what's on the table and discuss it with everyone [in the group]."
He added: "We'll announce it when we've figured it out."
Rolling Stones guitarist Richards echoed Jagger's optimism about future shows, adding that it seems natural for the band to continue after the successful anniversary concerts.
"Really, all you're going to have to do is wait for an announcement," Richards quipped. "[The anniversary was] like a dream, at the same speed, man. But we barely got off the starting blocks.
"It would be dopey to bring things up to this level and say, 'Well, that's that, 50 years, bye-bye'."
Copyright: PA Images Yui Mok/PA WireThe 50th anniversary shows in London also saw The Rolling Stones reunite with former bandmates Mick Taylor and Bill Wyman for the first time in many years.
Taylor recently commented that the concerts were about much more than nostalgia for the 'Jumpin' Jack Flash' group.
"I think they just feel re-energised and possibly very enthusiastic about doing things in the future," the guitarist explained. "I just have an intuitive feeling that if they want to do some more shows, they can. There's no reason why they shouldn't be able to."
The Rolling Stones also played the 12-12-12 Concert for Sandy Relief while in the US last month.
Watch The Rolling Stones perform on the 12-12-12 Concert for Sandy Relief below: