Is it common to still have a cough after getting over pneumonia?

In mid-June I had a pretty bad case of pneumonia. They put me on several antibiotics and I was on steroids and all that fun stuff and the majority of my symptoms were gone within a week or so and I was able to go back to my regular life.

However, I’ve noticed that I still have a little bit of a cough that just won’t go away. It’s not a real problem or anything, but it’s been almost two months and I’m starting to wonder why it hasn’t faded yet.

I have asthma but I never had a recurring cough before I had pneumonia… It’s also usually the worst at night, but I don’t know why.

Is it going to go away on it’s own, am I going to have to live with it, or should I call my doctor?