The Tigers picked up their third Barclays Premier League win from six games with a 1-0 victory against West Ham United at the weekend to move them as high as seventh in the table but Livermore insists it is important to just focus on each game as it comes.
“We’re not getting carried away,” said Livermore.
“I think we are where we deserve to be so far in the table. We’ve been away to Chelsea and Manchester City which aren’t easy places to go and we came out of those games with credit.
“We had ten men against Norwich and came out with three points from a great performance, we won at Newcastle and then Saturday against West Ham we showed great endeavour.
“When you look at that, I think the neutrals would agree that we are where we should be in the table.”
Livermore was once again in good form to help the Tigers see off the Hammers with an early Robbie Brady penalty proving decisive in a game that featured plenty of incident.
“It wasn’t the most attractive of games (to play in) but West Ham are always difficult to play against,” added Livermore.
“I think credit has to go to everybody because we stuck to our jobs well and came out with the three points.
“It was probably a good game to watch, but on the field it seemed difficult to get our rhythm of play going and the fluidity that we’ve had in the last couple of weeks. It was quite an open game at times and I had a few chances myself. There could easily have been a few more goals in it.
“But in the Premier League, the most important thing is to get the three points.”
Livermore was involved in one of the game’s key incidents with West Ham’s loud appeals for a second half penalty for handball against the midfielder being turned down.
That left Hammers’ boss Sam Alardyce fuming, but Livermore says it’s down to the officials to make the call.
“The ball did hit my elbow, but it’s down to the referee to decide whether it was deliberate or not,” admitted Livermore.
“It wasn’t deliberate. The arm went out to feel for where Kevin Nolan was because he was coming in behind me.”