If it is a large project, one stage you can do is read through your pattern, gather your supplies and cut your stakes. Of course you can stop at this point. I like to have all my supplies gathered together because it is frustrating to have to get up and down because I've forgotten something.
Is your basket being woven in all natural reed? If so, and if there are no wooden parts then you can stop at most any time during your project and just resoak it when you are ready to begin again.
If you have wooden parts on your basket such as a wooden base or a wooden handle, you shouldn't even dip those in water. Some wooden handles are held together with glue and the water could affect the stick-um power of the glue. Some handles are steamed into their shape and water could cause them to relax and straighten back out. Of course they may get slightly damp from using wet reed and that cannot be helped, I'm just saying don't dip them in water. So that said, when you start weaving, it is best to weave up to the top of your basket and get your stakes cut and tucked. You can always put the rim on during your next basket weaving session.
I hope this gives you some suggestions when to pause your weaving should you need to . Of course, in all instances, it is ideal to go from beginning to the finished project in one session.