The duo decided to have some fun with the I Think You Might Like It promo, by filming scenes featuring a 1955 Thunderbird - the car that flew off with Sandy Olsen and Danny Zuko at the end of the classic 1978 musical.
And Travolta says, ""We're dressed kinda like we were then but different.""
The promo also features Travolta's actress wife Kelly Preston and their children and ""all the people I've made friends with in the Ocala, Florida area in the last 10 years"". The Travoltas live in Ocala.
The video isn't the pair's only new link with Grease - John Farrar, who composed the tracks for the stars' new holiday album This Christmas, is the man behind the film's classic finale tune You're the One That I Want.
Proceeds from the album, which features I Think You Might Like It, will benefit the Olivia Newton-John Cancer and Wellness Center in her native Australia and the actor's Jett Travolta Foundation, the charity he set up to honour his late son.