TBF Dyche came in a similar situation with Lampard as to what Leicester are in currently.
In the short term he could come in and give them a boost. Remember how bad things were and then he masterminded a 1-0 against the odds against Arsenal who were top at the time.
Moyes desperately needs to dig a similar result like that out very soon. Then he won 1-0 against Leeds and Brentford with Gray upfront.
So I don't think it's that impossible he could go in at Leicester and give them a short term boost with a scrappy 1-0 or two.
Keep them in the mix and then they have Ipswich and Southampton at home right at the end of the season which would decide everything.
They'll be down by April keeping Van Nistelrooy for much longer so interested what they do in the short term. Dyche family home is also in Kettering isn't it so nice easy commute for him for once.
I think he'd take that job if offered pretty quickly.