The Uruguayan scored his 22nd Premier League goal of the campaign in his side's comeback 3-2 victory over Tottenham on Sunday - his 29th goal in all competitions from 39 appearances - to add to his hat-trick at Wigan last time out.
However, despite his match-winning displays, some believe Suarez's past controversies - including an eight-game ban for racially abusing Patrice Evra - will see him miss out in favour of Tottenham star Gareth Bale and Manchester United striker Robin van Persie.
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After his smart first-half finish gave Liverpool the lead at Anfield there was further evidence of Suarez's contentious on-pitch manner throughout the win over Spurs, with the striker involved in an ongoing spat with Mousa Dembele that resulted in an altercation between the two at the final whistle.
However, Liverpool assistant Colin Pascoe believes the Uruguay star's temperament has improved, while hailing him as one of the best in his position in the game.
Pascoe told the Reds' official website: "He's up there with the best in the world.
"The way he plays, his goals, his record - his name should be next to the best players in the world.
"I said a couple of months ago he is one of the best strikers in the Premier League and with the way he has been performing, he deserves to be a favourite for the Player of the Year award. The way he conducts himself and the way he has been performing has been brilliant.
"He is unique because he can play in four different positions. He can play as a No.9, a No.10 and wide left or right.
"He makes chances for himself as well. Some strikers need players to pass to them but with Luis he can score a goal from anywhere or any opportunity."