Talk

"I'm happy to end the tenancy earlier than XX date, so you can decorate. Please let me know what date is best for you and I'll make sure I've vacated by then. I'll also organise the inventory check out for this date."

I don't think there's any harm in saying you could be out a week or two early providing he lets you off 1 or two weeks of the rent.

Thank you - good suggestion - it feels a bit cheeky but it would be a big help to me if I can save a little money.

Unless your agreement states that the last week of tenancy tou have to allow him access to decorate while you still live there then I would expect him to refund you the week. He's only going have to either not decorate or put new tenant off a week. So it's too both their advantages. Nothing to lose by asking.
I would point out that I could possible arrange to be our earlier if he refunded the week. Rather that let on its empty already

If its through an agency then your tenancy ends when they do the check out and inventory. Your LL shouldn't be decorating before then, as you're still technically the tenant. Get them to move the check out date forward and save yourself the cash.

Thank you all for these replies - feel encouraged to construct and send email now .