Maguire, the Manchester United captain, was heard screaming at right-back Aaron Wan-Bissaka, “F****** tidy up, stop giving the f****** ball away”, after a string of errors from the defender.
In a dour game, a Craig Dawson own goal proved to be the difference, with United struggling to produce their best form – although Solskjaer was satisfied they got the result on the night.
And he was happy that Maguire was laying into his team-mates over their sloppiness in order to help them ‘calm down’.
‘They all needed it,’ Solskjaer told BBC 5 Live. ‘Either digging out or calming down. Maybe it was more calming down because I know the attitude was there.
‘We wanted so much to recover from what happened on Thursday night, with the last-minute equaliser from Milan, and the attitude was spot on – just calm down and trust yourselves.
‘We need to be more clinical – that helps me as well with my heart. Fortunately, we defended fantastically.
‘Dean Henderson did not have a save to make and I guess that is a good sign.’
On the overall performance of his side, Solskjaer added: ‘It is always hard in the Premier League, but I felt we controlled the game quite well after the first 15 minutes.
‘We built pressure and momentum and had enough chances in the end. We earned the spaces.
‘We worked really hard from the front tirelessly. Spaces opened up and then we can see the quality in our players.’