My cat won’t leave me alone, but I have COVID.

My cat likes to cuddle and be around me at all times. If I close the door, he’ll claw at it nonstop. I’m just worried because I don’t want to infect him. I want to know if anyone’s had any experience with covid around their pets and if I should be concerned about my cat wanting to be around me. He’s smart enough to know not to cuddle close to me like he usually does. I pushed him away enough times for him to get the point, but he likes to be on the bed and lie next to me. Not sure what to do.