The Reds made it a perfect start to the campaign as they defeated Burnley 3-0 on Saturday with City already two points behind after they slipped up with a 2-2 draw against Spurs earlier this month.
The former Manchester United boss is out of work having been sacked by the Red Devils in December and he is now doing punditry for Sky Sports.
Mohamed Salah laughs off Sadio Mane incident on Instagram after Liverpool's win over Burnley
He previously stated that 'four teams. Man City, Tottenham, Liverpool and Man City's B team' could win the title, explaining: "When I looked at City's bench and saw the players that weren't involved in the XI, I believe even their B team can win the title."
Speaking ahead of the North London Derby between Arsenal and Spurs on Sunday, Mourinho expanded on his previous point that City's B side could win the title along with Liverpool.
He said: “I think both (need the points). We were having a laugh at Old Trafford in the first fixture of the season. I was having the joke of Man City B, Spurs, Liverpool and Man City.
“Just three of four weeks later, we understand clearly Liverpool and Man City are going to finish first and second, or second and first. Can Tottenham or Arsenal be there? They push for it, I think today is very important for them to win.
“If they don’t do it, the distance just after four weeks is the distance that impresses a little bit.”