"Mourinho's message to the United squad, delivered at Carrington today, was created to underline his authority and remind the players that he is in charge", added The Times report.
Manchester United at home against Derby County of the second-tier should, on the face of it, be a regulation League Cup third round task for England's biggest football club.
Pogba and regular captain Antonio Valencia are likely to be rested against Derby, meaning Chris Smalling, Ander Herrera, Ashley Young and Nemanja Matic could be handed the armband.
Pogba was left out by Mourinho tonight but Redknapp has had his say on the falling out. That's my way of thinking - we should move better, we should move more, yeah.
The poor run of form has come following a hard transfer window in which Mourinho repeatedly voiced his desire for more backing.
"My words at half-time were similar to the words against Wolves where I told the players that the result was open and we needed to close it, but again we concede one goal".
Derby had been moments away from winning 2-1 in normal time after United keeper Sergio Romero was sent off in the 67th minute but Marouane Fellaini got a stoppage-time equaliser. "When we play like [that] it's easier for us". I think teams are scared when they see Man United attacking and attacking.
It was largely attributed to Jose Mourinho's side being knocked out of the Champions League early last season.
Fresh from playing a pivotal role in France's World Cup success, Pogba, who cost United a then world record £89 million ($116 million) to bring back to the club from Juventus in 2016, has started to deliver on his price tag this season.