I haven't seen anything anywhere credible, but it's fair to assume there will be discussions taking place. If Mourinho was open to taking the job and a couple of transfer targets were available in January, it could line up nicely.
I really don't think they'll sack him though, I just can't see it for some reason. Even though we're now not 4th (on goal difference), and out of the CL, and the fans are in revolt.