Using current, valid ILR Residence Permit card with new passport

[chrigil]

My wife has had ILR since 2009 however she has recently renewed her passport.
We're going on holiday in July, does anybody know if it is OK to enter the UK using her current, valid visa but with her new passport?

The following page on the Gov.uk website suggests it should be OK, I just wondered if anyone had any experience with this.
We rang the helpline and the lady said "you don't need to take your old passport but you may be forced to renew your visa". This seems at odds with the wording below on the Gov.uk website and what on earth does "forced to renew" mean?!

"You can use the valid visa in your expired passport when you’re travelling to and from the UK. You’ll need to travel with your expired and your new passport." - https://www.gov.uk/transfer-visa

Thanks in advance

[zimba]

The BRP is proof of immigration status and it is NOT attached to a specific passport. This is the whole point of having a separate card, unlike visa stickers. A new passport can be used to enter the UK. This is very common for immigrants