Solskjaer’s side suffered a third defeat in their last four Premier League games to put the United boss’ job security back under the microscope.
Burnley’s first top-flight win at Old Trafford since 1962, secured by Chris Wood's 39th minute opener and a Jay Rodriguez thunderbolt after the break, exposed the flaws in a lacklustre United side who have made their worst start to a season since 1989-90.
The majority of Old Trafford was on its feet when chants of “stand up if you hate Glazers” echoed around the ground in reference to United’s owners.
Executive vice-chairman Ed Woodward was also subjected to many other abusive chants, while those few fans who remained in the stadium booed Solskjaer and his players at full-time.
Former United defender Rio Ferdinand, a Premier League and Champions League winner with the club, slammed the performance and called for the US-based Glazer family to take action to stop the rot.
“I can’t defend this,” Ferdinand told BT Sport. “These young kids now in schools around the country, they are not going to be wearing Manchester United shirts.
“Fans are walking out after 84 minutes! It's an embarrassment. People at the top need to look and see this and make changes, put a plan in place that people can sit there and see where we are going now. I don’t see it.”
Fifth placed United are six points behind fourth placed Chelsea as they battle to qualify for next season’s Champions League via a top four finish.
Solskjaer admitted United had only themselves to blame, but he claimed the youngsters in his side deserved some patience and is still adamant he can turn the tide if he is given time to develop the likes Mason Greenwood and Brandon Williams.
“I’m going to back them and help them get through this. The players are giving everything, they have done absolutely fantastic so far this season but they know it wasn't good enough tonight,” Solskjaer said.
“The boys looked mentally tired towards the end, we didn’t find that creativity. We can’t feel sorry for ourselves.
“When you are at Man United you are privileged because you are playing for the best club in the world. Sometimes you go through periods like that and it is a test I am sure they are going to come through.”
United must regroup to avoid more misery in the FA Cup fourth round against Watford or Tranmere on Sunday (Jan 26) before they head to Manchester City looking to overturn a 3-1 first leg deficit in the League Cup semi-finals next Wednesday (Jan 29).
If United are knocked out of both cup competitions, Solskjaer is likely to find the patience of supporters who idolised him during his playing days will dwindle even further.
The gap between United and runaway leaders Liverpool stood at 30 points after Sunday’s (Jan 19) defeat at Anfield and there is no sign of Solskjaer bridging the divide any time soon.
Aware the pressure is mounting, Solskjaer is keen to make signings to bolster his injury-hit squad, with leading scorer Marcus Rashford and star midfielder Paul Pogba both sidelined.
“We are looking to improve, we have got our targets. This is our second defeat at home and first since August. I thought we had turned that corner,” he said.
“We have started a clear-out and now I am going to be answering these questions until the window closes. We are working on things.
“For me the most important thing is we have to perform on the pitch. Tonight wasn't good enough for a Manchester United team.”
Alli ends Spurs drought
Tottenham needed a late winner from Son Heung-min to snap a four-game winless streak in the league and breathe new life into their push for a top-four spot.
Dele Alli’s opener had ended a three-game run without even scoring in the league for sixth placed Spurs before Teemu Pukki’s penalty 20 minutes from time for bottom-of-the-table Norwich.
South Korea forward Son's stooping header 11 minutes from time hauled Jose Mourinho’s men within six points of Chelsea.
Elsewhere, Ayoze Perez scored twice as third placed Leicester ended their two-match winless league run with a 4-1 victory over West Ham that was marred by an injury to their leading scorer Jamie Vardy.
Vardy limped off just before half-time at the King Power Stadium with his side 1-0 ahead thanks to Harvey Barnes’ 24th-minute opener, with the winger then setting up Ricardo Pereira to fire home the second in added time.
Five minutes after the interval, Wilfred Ndidi was adjudged to have bundled Sebastien Haller over in the area and Mark Noble scored from the penalty spot.
However, Leicester earned a debatable penalty of their own when Kelechi Iheanacho was deemed to have been brought down by Angelo Ogbonna and Perez made no mistake from 12 yards.
The former Newcastle player then swept home his side’s fourth goal to lift them back within three points of second-placed Manchester City.
Asked about Vardy, Leicester manager Brendan Rodgers said: “Hopefully over the next couple of days it will ease off and he will be fit.”