Elsewhere, top of the table Manchester City host Stoke, champions Chelsea go away to struggling Crystal Palace and Tottenham look to banish their Wembley curse with the visit of Bournemouth.
Both United and City have only conceded twice, while Spurs' three-man defence is looking impressive.
Although a few would argue that the likes of Romelu Lukaku, Henrik Mkhitaryan and Christian Eriksen deserve a place in this team - even possibly Dele Alli - but Carragher's team is definitely one that would win the Premier League easily.
Carragher delivered his verdicts to the Daily Telegraph.
And here is what the Liverpool legend came up with - and he gave his explanation on each selection.
Manchester United's David de Gea is Carragher's first pick, with the former England star saying he is "the best keeper in the world at the moment".
"I think Tottenham, Arsenal, Liverpool are outsiders".
Chelsea average four goals per season in the dying stages.
"Alderweireld last season was the outstanding centre-back".
"Alongside him his mate wasn't far behind him, Vertonghen".
In midfield, N'Golo Kante, last season's player of the year, gets the nod beside Kevin de Bruyne and Philippe Coutinho.
"The defensive player in the middle".
After all, Leicester City won the Premier League title not so long ago without having a single world-class player in their squad at the time.
"The standout player at the start of this season".
Up top, the Champions League victor has selected Sadio Mane and Eden Hazard on the wings, while Harry Kane takes up the centre-forward role. "I think he is going to be a future Player of the Year contender". "He adds goals, pace, assists".
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