Can my dog climb stair while on heartworm treatment?

I just adopted a dog from the pound, and when I went to get his shots and neuter he was diagnosed with heartworms. Well the vet gave him the treatment and now I have to keep him calm for 8 weeks. This really isn't a problem as he isn't very active inside and I will take him out on a leash so he can't run and frolic. The problem is I spend most of my time upstairs and he prefers to be where I am. So is it ok for him to climb the stairs? He goes out 3 or 4 times a day so he has to climb back down them and then back up every time he goes out. I just don't know. I don't think it would be so bad if he walked up them, but he sort of hurtles up them. Any advice would be great. Thanks.