I think it should be fine. I'd had Rygel less than a week when I first gave him his
bath. I strongly advise you use a small tub - something shoebox sized would be ideal, put paper towel on the bottom for grip, and make sure the water is the right temperature. I made it a little too cold when I first bathed Rygel (about 90) so he didn't much like it. He prefers around 98. I definitely second SDragons advise to support him underneath - Rygel is much calmer when I do this. On our first
bath attempt I had a big rock in the water for him to hold on to, but he seems much happier and stays still when I support him instead.