Landlord Wants Almost Daily Showings Before I Move Out And Says I May Owe Him Rent If I Refuse

location: California

My lease ends September 30 and I already gave proper notice that I'm moving out.

My landlord started looking for the next tenant a few weeks ago. I have no issue with allowing showings and I've already let several prospective tenants come through.

The problem is the frequency.

Last week he requested showings on four different days, mostly for one person at a time. Some were during my workday and a couple were only communicated about 24 hours beforehand.

I work from home several days a week, so having someone come through the apartment almost every afternoon is becoming disruptive.

I told him I'd be happy to offer two set windows each week, around 60-90 minutes each, and he could schedule multiple prospective tenants during those times.

He rejected that and said I don't get to restrict his ability to show the unit as long as he gives proper notice.

He also said that if I make it difficult to find a replacement tenant and the apartment sits vacant after October 1, he may hold me responsible for the lost rent caused by my refusing showings.

I'm not refusing access entirely. I'm trying to make the showings predictable and group them instead of having strangers coming through four or five days a week.

How much access am I legally required to provide for prospective tenants in California?

If I'm regularly offering reasonable blocks of time for showings, can my landlord still insist on separate showings almost every day and later claim damages if I decline some of them?