Hot tubs or jacuzzis are not the best way to speed recovery after a long and hard training session (especially for runners). After one of these sessions your body tends to be battling inflammation or swelling of joints and muscles and, while it's tempting to immerse your sore and tired body into the jacuzzi, that's not the best way to enhance recovery.
A better option, though it doesn't sound very fun and I'm not a fan, would be to soak those legs in cold water. It's recommended to at least wait 36-48 hours after a strenuous workout to get into the hot tub.
Someone who is busier than you is working out right now.
There will come a day when you can no longer do this. Today is not that day.