Liverpool have a fixture againts Leicester on 27th December and two fixtures against Spurs and Man U in January. Apart from them, I don't find any major hurdles.
You sure about that? Bookies seem to think otherwise. Check out the odds for the league cup game vs Aston Villa next Tuesday:
from PinnacleLiverpool to WIN @6.7!!?? LOL

Let's see which one of you can figure out the reason for such strange odds (without having to resort to Google of couse, i'm watching you!!)