You do not need to apply for a BRP replacement if your BRP expires on 31 December 2024, this is because that from 1st Jan 2025, you will be able to prove your immigration status online. BRP card will no longer need from 1st Jan 2025. Your immigration status (your visa) allows you to stay longer. UKVI will update their information on how to prove your immigration status in early 2024.
You can log on UKVI website to get a share code to prove your right to work via here.
If your indefinite leave to remain is a visa vignette on your passport, your employer cannot employ you without right to work check. You need to make an application to No time Limited transfer to a Biometric residence permit (BRP) card.
London Office
+44(0)207 193 1996
WeWork, 125 Kingsway, Holborn, London, WC2B 6NH
Swansea Office
20 Walter Road, Swansea, SA1 5NQ