Solskjaer is coming under increasing pressure following a string of poor results and performances to go with it.
Their last two Premier League games at Old Trafford have ended in 5-0 and 2-0 defeats to Liverpool and Man City, respectively.
Solskjaer is expected to hang onto his job for now with reports claiming United's hierarchy have signalled no intention to sack their manager just yet.
He is expected to be in charge for their next match after the international break.
But all is not well at Old Trafford, according to a report in the Mail, with claims that senior players are concerned with how things are going.
Bruno Fernandes is said to be among the senior players who feel they are 'not getting enough direction' from Solskjaer and his coaching staff.
Meanwhile, club icon Ronaldo is believed to be concerned about the sharp drop in standards at the club since he left 12 years ago.
The players are also sympathising with Donny van de Beek for his treatment under the manager with chances in the first team rarely coming his way.
There are also fears that Jadon Sancho is stagnating following his £73million move from Borussia Dortmund as he cannot force his way into the side.
Jesse Lingard is also struggling to get games, yet Marcus Rashford featured against Man City despite missing training for two days before the game with flu.
The Red Devils appear to be going backwards under Solskjaer, but there is resistance to make a change with the club spending around £136million on transfers over the summer.
They are currently sixth in the Premier League table, but slipping back further from the title race with nine points between them and leaders Chelsea, while top four may even be a struggle on their current trajectory.