ILR stamp transfer to new passport for job offer?

Hi
I had my ILR few years back and it is stamped on my old passport. Got a job offer this afternoon but HR saying that there is a new home office rule that the stamp needs to be on new passport. Is that true?

That does appear to be the case. My ex-colleague who has been in the UK from when she was 3, who is on her ILR, was recently asked this in her new work place. She has submitted old passport with ILR vignette and new passport and going through the biometric process to get this sorted.

Many thanks. Just found some posts which discusses on similar topic, however I saw the notice from Home Office, which is kind of self contradictory.
The problem I have is timescales. I have taken up an appointment in premium service centre coming Tuesday. I guess it takes upto 7 days to get the bio card. Do you know if they put any stamp on the passport as well, I actually need to provide an evidence to the prospective employer, for them to release the contract.

There will be no stamp in your passport. You will have your PEO appointment letter which will prove that you have indeed processed this. My friend is doing this postal via the post office and is taking longer for her. But PEO should be quicker, within a week I would imagine, although the timeline the promise is 15 days.