Next Covid booster combined with flu jab?

[Dilbertian]

Have I imagined it, or was it announced that the next round of Covid boosters will be a combined new-variant Covid plus winter flu jab?

Winter flu jabs are being rolled out now, and I want to get mine asap. But if the covid jab is a combined one, will I be able to have it if Ive recently been jabbed against flu?

I'm over 50, so am eligible for both jabs.

I've just had mine today, they were offering flu jabs at the same time but had run out of over 65 flu jabs! It was v busy

I’m looking after dh and our gp booked me for both together.