
To answer your question, YES. As long as it doesn't affect you gait, says Jordan D. Metzl, M.D, at the hospital for special surgery in New York City. "Trying to avoid pain can create an uneven stride, increasing your risk of injury, " Dr. Metzl explains. Translation: Babying that sore right quad might make your left knee take an extra dose of pounding. If you're wincing days later, trade your run for cycling or use the ellipitcal machine until the ouch subsides. Soothe legs in the meantime stretches that will releave stress off the muscles.
Rememeber, when you run after your workout, your muscle tissue are being broken down after building them up. So make sure you do the nessesary adjustments to keep from injury.
There is also another question that is asked about running and lifting weights combined. Can you run before you lift weights on your legs? Yes, you can if you muscles are conditioned to take the extra stress that comes with running first. Your muscles will already be in a fatigue state and then to lift weights after is breaking down the muscles fibers even more. My suggestion to this, is to eat to replenish what you lost during the run and then lift. Your muscles have to be ready to take the pounding by refueling them. If you take care of your body, your body will take care of you.