It was an important win for them today, but they were far from impressive. Burnley are by far and away the worst away side this season and they stumbled past them. If (as I hope) they lose to City and we beat Hull then we are very much "in the game" going into the last 8 or 9 games.
I can see them having a lot of problems winning at Anfield and they have some tricky looking away games too, all against sides who have sussed out how to play them.
The other interesting thing to me, is just how weak their squad now is. With a couple more injuries and they would barely be putting at 11 senior lads out. They sold off all the squad players last season, who were ok (your Ibe's, Allen's etc) to help fund a spending spree. Difficult to see how many more lads there are there left to sell.
On a final note the "we are dead unlucky with injuries" myth must be challenged. They've had no more injuries than anyone else. Likewise the style of play they adopt if very intensive and will inevitably cause injuries. This season they've been lucky and had no European competition. Throw in another 15 games, no squad to talk of and not getting so lucky in terms of injuries relative to Klopp's methods and you start to see the unravelling.
Normally I'd be gutted they get a win playing badly. Under Benitez you knew they were ticking points off we couldn't catch as they would convert points. Similar under Houllier. I have no such fears now, I pity them and think we can still overtake them this season.