Developing the Domain Model alone

Question

In DDD examples it seems the common method for developing the domain model is to sit with domain experts and iterate over versions of the model, say on a whiteboard, continually modifying it and changing it until presumably an agreement is made on how the model looks.

On my project I've spent a couple of days with a domain expert, discussing the domain, and now I want to lock myself away and produce a draft model based on my understanding, rather than producing the model collaboratively with the domain expert. He could then review it, and I could update it according to our subsequent discussions.

Has anyone else worked like this, or does anyone think its a good / bad idea? I think maybe I just find it easier to think creatively when alone.