The Uruguay international has been the stand-out performer since he was signed in January just a few weeks after Kenny Dalglish returned for a second spell in charge at the club.
Suarez is the Reds' leading scorer this season with seven goals in 14 matches, with his overall record 11 in 27 since his £22.8million move from Ajax at the start of the year.
That tally could easily have been more as in his last two home matches the 24-year-old has had shots brilliantly saved from Norwich's John Ruddy and Swansea's Michel Vorm which might have been match-winners.
The fact neither were has meant Liverpool have now had three successive home draws and taken 10 points from six home league matches.
Vorm, who faced Suarez in Holland playing for Utrecht, suggested in the wake of their goalless draw that the Reds are too dependent on Suarez for creativity and goals.
The forward himself believes he should have scored more already.
"I'm happy because the team has been performing well but as a striker I am always going to get plenty of chances and I could probably have converted one or two more," he said.
"I also know strikers go through periods where they are trying so hard to score and they don't always go in.
"The main thing is I am playing well and the whole team is playing in the right manner.
"I think all of the lads are playing well and although we know we have some injuries to key players like Stevie and Carra, we know we have players who can step up and perform well.
"That's the good thing about having such a big squad - we have the quality for anyone to come in, do a good job and replace these players.
"But we still know we can do that little bit better."
Suarez was named Liverpool's star player for October but after winning the award for three successive months he admits even he finds it a bit awkward accepting it.
"It's a bit of a surprise because to win it three months running makes me almost feel a bit embarrassed," he told liverpoolfc.tv.
"But as long as people realise I'm just doing my job and I'm working hard for the team then that's great.
"I think if we had managed to pick up a couple more victories in those games we deserved to - the home games against Manchester United and Norwich - we'd obviously be a little bit higher up the league."
Suarez's recent performances on the field have come against the backdrop of a race row involving him and Manchester United defender Patrice Evra.
The France left-back alleged Suarez repeatedly made racist comments to him during the 1-1 draw at Anfield last month, claims the Uruguay international denies.
Both players have been spoken to by the Football Association in their on-going investigation but Suarez, on his return to his homeland for international duty, went public with his denial.
"The FA will have to clear it up with him, because there is no proof at all that I have said anything racist," Suarez told newspaper El Pais.
"I didn't say anything like that to him. There are things that happen in football, all in the moment, that leaves one feeling bad.
"Now we have to wait to see this issue decided and then the Manchester player and I will have to clear things up.
"Depending on who ends up in the wrong, one of us will have to apologise.
"There were two sides of our discussion, one in Spanish and one in English. I didn't insult him, it was just my way of expressing myself.
"I called him something that his own Manchester United players call him.
"Furthermore, even they were surprised at his reaction on the pitch."