Im permanently employed as a web design and Im considering switching to contracting. My contract requires me to give my employer a months notice.

Ideally Id like to have my first contract job lined up before I hand in my notice but im assuming no one who needs a contracter will be prepared to wait 4 weeks? Has anyone else been in this situation?

This would be my first time contracting so I dont have many contacts. This is why im a bit worried about quitting my job if I dont have anything else lined up.
Thanks