Yep, 7 hours, I looked it up for 09:00 next Wednesday, and got (for example):
Dijon Ville dep 09:40, Lyon Part Dieu arr 11:44
Lyon Part Dieu dep 12:36, Avignon TGV arr 13:46
Avignon TGV dep 14:00, Antibes arr 16:47
"I am not thinking of air travel. Any thoughts are greatly appreciated." - Oh yes you are, I saw your other post: https://community.ricksteves.com/travel-forum/transportation/flight-from-dijon-to-antibes
If you flew, you still need to get to Lyon airport, and from Nice Airport. It ends up taking nearly as long, and a lot more complicated trip.
You can look up options on: https://www.rome2rio.com/map/Dijon/Antibes
That site is good for suggesting options you didn't think of. Not so good for exact times and prices
Driving is not much different (route from: https://www.viamichelin.com/ )
Time: 06h12 (05h53 on motorways)
Distance: 645 km (634 km on motorways)
Costs: €114.13 (Toll €56.90 + Consumption €57.23)