I had enough problems learning to manage my dry suit that I would be very reluctant to tell somebody who has only been in warm water to go somewhere where the water is very cold (read heavy hood, heavy gloves, heavy undergarments, lots of weight) and visibility may be marginal and just jump in and dive. It might go okay, and it definitely might not. I don't know the details of the contemplated dive, but if it's at all deep, I'd be quite worried that a new drysuit diver would be unable to hold any stops on ascent, particularly the important shallow ones.
I've seen a number of very competent wetsuit divers transition to a dry suit, and without exception, they've all taken a BIG hit in their buoyancy control for at least a few dives.