"Hey guys, just seen your tweets!" wrote the mother-of-one. "Me and Alaia okay, someone drove into the back of us, not very nice but could have been worse x."
"Sometimes the shock is worse," added Rochelle. "Just worried about her! But all is fine now. Thanks for all of your sweet msgs xxx."
Aston Merrygold, whose former JLS bandmate Marvin Humes is married to Rochelle, responded to the singer's message.
"@Rochellethesats you both best be ok!!" tweeted Aston. "Who did it?"
"Someone that can't drive," responded Rochelle. "We all good now love u xxx."
Rochelle, who sings with British girlband The Saturdays, had been enjoying some mother-and-daughter time with three-month-old Alaia-Mai and the two had been swimming earlier in the day.
Fans were given the first glimpse of baby Alaia when she was two-weeks-old.
"We know you guys have been wanting to see a picture of our little Princess," wrote Marvin with a picutre of the youngster. "Mummy and Daddy are very overprotective but here's a precious picture, she's a little camera shy x."
Ten months after their faiytale wedding at Blenheim Palace, Marvin and Rochelle, 24, welcomed their first child on 20 May 2013.
Since becoming parents the couple have also starred together as TV presenters after landing a slot on ITV's This Morning while the show's usual preseneters, Holly Willoughby and Phillip Schofield, were on holiday.