I think you'll be fine. Before a hen even starts to lay she stores up a bunch of extra fat. I've butchered enough cockerels, roosters, pullets, and hens to see that difference, it is a lot of fat. That excess fat is mostly what a broody hen lives off of so she can stay on the nest and incubate the eggs instead of needing to be off searching for food. Expect her to lose some weight while broody, that's just fat put there for that purpose. Different hens spend different amounts of time off of the nest so some may eat and drink more than others so that fat may last longer for some than others. I'm extremely comfortable with a broody being on her nest for 5 weeks, after that it may be stretching it. I don't have any science backing up that 5 weeks, it's just an arbitrary number I'm OK with.
Good luck and let us know how it goes.