I'm a HBV carrier for years now and have sexual relationships with different women but so far nobody got infected. The last time I had HBV DNA exam, results is 1,200 iu which means it's not infectious yet according to the doctor although he advice me to use condoms the next time around.
Try to check first if you have or not hbsag if you are neg see your hbsab if positive no problems
Get vaccinated as soon as possible. Healthy or not he can still infect. Get your 3 series shots and check for your titers if its enough.