Paying tax on savings interest under £10,000

Hello, in FY 23-24 I earned around £43,000 from full-time employment (with tax charged at source) and around £9,000 from savings interest. This means that I don't need to register for self-assessment, but I know that I do need to pay tax on my savings - how will this happen? Am I correct in understanding that HMRC will also my tax code and I therefore don't need to do anything?

Hi
If you earn interest over your allowance but under £10,000 and are employed or receive a pension, HMRC will change your tax code so you pay the automatically. The code for the current year will be based on how much interest you had in the previous year. 
Further information can be found here: Tax on savings interest

If HMRC has not adjusted the tax code reflecting 2022/2023. and 2023/2024 does this just mean they are busy but will eventually? For each of these years interest received was under £10,000. Thanks

Hi,
As we would need to access your record to check the tax codes you will need to contact our Income Tax team for advice.
Income Tax: general enquiries
Thank you.

I have the same issue as the customers above. I have interest to pay for 23-24. I completed the’should I fill in a tax return tool’ and was told my tax code would be adjusted. It has not. The posts above are helpful but when you follow the links you go round in circles. There’s nowhere in my profile to notify HMRc about my liability. For 24-25 it says no action as this is yet to be calculated. For 23-24 it says can’t access records. The link you shared says contact us but I can only phone, there is no address to write to. Last time my husband called he was ringing for an hour and 10 minutes. Can I not just write to someone and if so what’s the address? Thank you

Hi,
You can notify us of the interest, through your personal tax account:
Personal tax account: sign in or set up
Thank you.