The actors have been longtime supporters of UNICEF (United Nations Children's Fund), but neither Thurman nor Brody have had the opportunity to take part in one of the organisation's humanitarian trips to highlight the plight of kids in poverty-stricken countries.
However, the pair is serious about volunteering for charity - and the stars have called on officials to get in touch.
The Pianist star Brody tells WENN, "We haven't had any specific projects but that's something I'd consider for sure. There's so many places that need help. I've done some work on my own in India because I've spent a great deal of time there, but I don't know (where I'd travel to); I'd be open to hearing a proposal."
Thurman insists she would be "honoured" to work with UNICEF - because she has been helping to raise funds for the cause for years.
She says, "UNICEF means a very, big lot to me (sic). It's historically an incredibly important organisation, crossing borders, refusing to allow politics to stop them from protecting all children as their own, as our own. I've been trick or treating for UNICEF since I was a little girl...
"I'd like to go to lots of places. I mean the Horn of Africa is particularly important right now, but there's many, many locations, sadly too many locations, that I would be just as honoured to visit wherever this essential work is being done."
And they're not alone - actress and former model Angie Harmon is set to kick off the New Year (12) with a trip to India in collaboration with UNICEF, while Sex and the City's Sarah Jessica Parker admits she would love to volunteer.
She tells WENN, "I've never been able to travel outside the States so far but one day, I would love to. But with my children it's hard to travel. I would mostly love to go to Yugoslavia, for lots of personal reasons."