What would you do? Please help!

[Jacob Forbis]

My tenant's lease expires May 31st and when I asked them about renewing they informed me that the father had lost his job. They are asking to do month to month until he finds another job.

What would you do in this situation??

I'm tempted to allow it because they have been good tenants, but the father has only been at that job for a year (he was just starting it when they moved in last year) and I am starting to wonder if he has problems holding down jobs.

I would love some perspectives here.