The Brazilian Grand Prix will be the 247th race for Button at the end of his 14th season in the sport, overtaking the previous record for a Briton set by David Coulthard.
Just four drivers have now competed in more grands prix than the 33-year-old - Rubens Barrichello (323), Michael Schumacher (307), Riccardo Patrese (256) and Jarno Trulli 252.
By way of celebration, McLaren baked Button a chocolate cake with the numbers '247' decorated with Smarties on top, which was presented to him by Coulthard, now a BBC F1 presenter.
As an introductory speech, a jokey Coulthard said: "I'll be frank with you Jenson, I'm a bit p***ed off because you are about to enter your 247th grands prix.
"I thought, at least, I'd keep the record of 246 races for most by a British driver.
"You've won a world championship, you've more wins than me, and you are stealing that from me as well."
Quick as a flash, Button replied: "But you've still got your looks!"
Coulthard concluded: "You haven't got the results on track this year we know McLaren can deliver, but I'm sure you're going to have those in the future.
"I just want to congratulate you on being the most experienced British driver."
It is an honour, however, overshadowed by what has been a miserable year on the circuit for McLaren who face the ignominy of setting an unwanted record on Sunday.
Not once in the team's history, since 1966, have they gone through an entire campaign without a top-four finish in a race, with their best this year being fifth from both Button and team-mate Sergio Perez.
Despite that, 2009 world champion Button can appreciate the good times as he said: "I've been through a lot in a career that spans 14 years.
"You experience great times, a lot of very special occasions - winning the world championship, becoming a driver here (at McLaren) for the last four years.
"There have been a lot of ups and downs, but the good thing is I feel I've had a lot more ups than downs, an enjoyable career so far, but it's scary how fast it goes by.
"Although this year has been very difficult for us, I'm still loving racing, I'm still enjoying myself, and I'll be loving the fight this winter to take us back to the front."