Carragher has not pulled any punches though while weighing up what Pogba offers in comparison to Manchester City rival De Bruyne.
"Every so often players come along who are brilliant but flawed," he told The Telegraph.
"Such is their ability to decide games, their weaknesses have to be accepted and teams built around them.
"Does Paul Pogba come into this category at Manchester United? No. He has not done enough to warrant such special status.
"Many believe Pogba can do for United what Kevin De Bruyne does for Manchester City to the right of a 4-3-3. Can he?
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Paul Pogba was benched when Manchester United took on Sevilla in the Champions League
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Jamie Carragher has torn into Manchester United star Paul Pogba
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"Does Pep give De Bruyne freedom to roam where he likes? No. Does Pep absolve De Bruyne of defensive responsibility? No. If the best midfielder in the country is not indulged, why should it be different for Pogba?
"De Bruyne’s excellence this season is more than just as playmaker. In the last two seasons De Bruyne not only has more goals and assists than Pogba, he has made more tackles and more recovery runs than his United rival.
"A comparison with the City star is brutal, but isn’t that the standard by which United’s main man in midfield must be judged? It is not enough to be the best midfielder at Manchester United. On that stage, you have to be as good as, or better, than the best of your opponents."
Carragher also suggested Pogba is not yet comparable to his former Liverpool team-mate Gerrard.
"At Liverpool, Rafa Benitez felt he had a dilemma with Steven Gerrard," he added.
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"He saw the dynamism he could offer from central midfield, but was worried about the spaces his forward bursts left in front of the defence. Gerrard’s heroic Istanbul performance was not as a central midfielder, but as a No 10.
"In 2006 he was named PFA Player of the Year, having spent most of the season at right midfield. In 2009 he was the FWA Player of the Year, having spent the season as a No 10 behind Fernando Torres.
"The difference was Gerrard was world class and there were options available to Benitez. He was so influential with goals and assists it justified tweaking the system to get the most from the captain. You can build teams around players like Gerrard.
"Pogba is nowhere near that level yet. He has great ability. It is yet to make him a great player."