Changing work visas to Tourists types

Hi there!
We live in Shanghai for 2 years and in one month my husband's contract will be finished here and our Z types will expire on april 7th. But we wanted to stay in China for another month afterwards. My husband and my son are Canadians and i have Uzbekistan passport. Will it be possible for all of us to apply for tourist L type here, in Shanghai, so we can stay additional month?
Thanks!