The Reds defeated Aston Villa, Wolves, and West Ham in three Premier League games while losing a contentious game to Tottenham the last time around.
As October begins, Klopp’s team is now in fourth place in the Premier League standings, 2 points behind league leader Manchester City.
Arteta and Postecoglou are the two most likely managers to receive the accolade after their teams amassed 10 points from their four games in September.
Fans can participate in the voting process, though. Liverpool supporters can nominate Klopp by going to this link on the official Premier League website. On Monday, nominations end at 12 PM BST.
Klopp will be anxious to begin October with a few victories.
Liverpool has two games left before the following international break after a strong September. On Thursday night in the Europa League, they face Union Saint-Gilloise; this weekend, they go to face Brighton.
Klopp will be hoping that his club can quickly resume winning ways following the setback to Spurs before first team players begin training with their national teams next week.
The Reds will need to get back into the groove right away when they get back together later this month because of the derby match against Everton on October 21 at Anfield. The Merseysiders then play three more league games against Brentford, Luton, and Nottingham Forest.