work Z changed to tourist L?

I currently have a work Z (due in a month) but due to some recent changes, will no longer be employed by my current job. As I do not have another job to work at, but would like to stay in China for a few months to enjoy the country, can I submit an application to change to a tourist L easily? And if there is another opportunity for work within this time, is it possible to change the new tourist L into a new work Z? Please advise and much appreciated!