How do I get Scrum Master Experience?

I work for a large organization that is taking a more Agile approach (slowly). We have a lot of projects coming up and I know they need Scrum Masters and I happen to be a Certified Scrum Master. Currently have no Scrum experience expect for the class, have plenty of Project Management experience.

So is there anyway for me to get experience? Anybody been in a situation like this before?

I'm not planning on leaving my job or organization but I would like to get involved in Scrum.

Thanks for the help in advance.