The 41-year-old actress apparently wants to travel with the band so that her children Apple, nine, and Moses, seven, can spend time with their father when the band kick off their tour in May in support of their sixth studio album, Ghost Stories, reported Contactmusic.
"Gwyneth has pledged to travel with the band. She's determined to keep things amicable and joked that she'll be their roadie," a source said.
It has recently emerged that Martin is keen to work on their relationship in an attempt to save their 10-year marriage and is hoping to reignite the flame they used to have.
"Chris still loves Gwyneth and would still like the marriage to survive. He hopes they might be able to rediscover what they had years ago and would love to rebuild their relationship back to what it once was."