Tenant wants to cancel intent to vacate notice

[Bryson Scott]

My tenant informed me last month there were some issues they needed to handle elsewhere and would be leaving. Due to the pandemic I was fine with allowing them to break the lease and just leave with no penalty. I figured I could quickly find another tenant and continue on. I had them sign an intent to vacate stating they would leave on oct 31.

Today I received a text indicating the issue had been resolved and they would like to stay.

This is a relief but my question is this:

Can I require them to sign a new lease and provide proof of income again? I am not certain what their troubles were and I want to be sure they aren’t just deciding to stay and unable to pay.

Any ideas would be great.

My property is in the Los Angeles area under rent control.