Can I go to the Gym in the clubhouse of our apartment and take the baby monitor with me?

Here's the deal. My baby is 11 months old. I am really looking forward to getting back into shape. We have a clubhouse in our strata which inclues a gym. Our apartment is on the 7th floor and the gym is on the 6th floor. IN fact, when you look out of our window in the apartment, you can see the gym on the 6th floor. I have tried taking the baby to the gym in her stroller so that she can watch me while i work out. However, she usually gets bored after a few minutes and totally ruins my workout. What if I when she takes a nap in her crib, I went to the gym and took the baby monitor with me? Would that be acceptable? If I heard her cry, or scream, or when she got up, I would just run back upstairs. What do you all think? She usually takes a nap for about 2 hours or so. Ample time for me to hit the gym