United have had their worst start to a season in 30 years and a 1-0 defeat at Newcastle on Sunday left them just two points above the relegation zone.
After the match, Solskjaer ripped into the players and for the second week running branded their performance “embarrassing”.
Then he warned them his job is now on the line despite a public vote of confidence from Ed Woodward a fortnight ago when the club’s financial results were released.
Solskjaer has won just five of his last 23 games in charge.
Executive vice-chairman Woodward has supported the Norwegian’s rebuilding plans with a focus on youth but United could even be in for a relegation fight.
The hierarchy were prepared to end the reigns of David Moyes, Louis van Gaal and Jose Mourinho when results and performances were much better than this.
On the other hand, Manchester United have earmarked Julian Nagelsmann as a future Old Trafford manager.
Sportsmail has learned United have begun doing their groundwork on RB Leipzig’s highly-rated young boss Nagelsmann.
Nagelsmann is just 32 but already on his second top-flight job in Germany and earning admirers at struggling Premier League giants United.
While pressure is building on current boss Ole Gunnar Solskjaer now, Sportsmail understands United currently have Nagelsmann down as one to watch for further down the line. But the process of gathering information on him is well underway, according to DailyMail report.