Speaking in an interview with Coral, Shearer said: "Jose has taken on his players before at Chelsea and we know how that ended, he was shown the door, and I think the same outcome will happen here".
Manchester United will now switch their attentions back towards Champions League affairs and their home clash against Valencia on Tuesday night at Old Trafford.
Alexis Sanchez and Jesse Lingard were not in the matchday squad as Mourinho brought in Scott McTominay to play alongside Chris Smalling and Lindelof in a back three, leaving United short of attacking flair.
"In the past we've seen managers relieved of their duties, that's what would normally happen", said the six-time Premier League victor.
Mourinho did not look too despondent after Saturday's result but his attempts to shift the blame for two of United's goals onto the officials failed to take the spotlight off his under-performing players.
The Portuguese reacted to his latest setback by lambasting his team for their "quality and mental approach" while former United legend Rio Ferdinand, who is now a respected TV pundit, openly questioned how long Mourinho will remain in charge.
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Messi came on in the second half and grabbed the assist for Munir El Haddadi's equaliser at the Camp Nou. It's the first time in two years Barcelona hasn't won in three consecutive league matches.
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It's alleged Mr Milne told Ms Guthrie "you just have to shoot him". Ms Guthrie says she is considering her legal options.
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Luiz, who made 10 league starts under Conte last season, has started all six of Chelsea's league games under Sarri. Maybe the Premier League , maybe the Champions League.
"He is a special character", Mourinho said. Zabaleta doesn't see the ball.
"We are not very good in transition", Mourinho said.
United's third defeat in seven Premier League games left them eight points behind leaders Liverpool and three adrift of the top four, with Mourinho's men now having played one game more than the teams above them in the table.
When asked for his verdict on United's performance, Pogba replied: "You want me dead?" "I left Alexis out, and Martial is not a player very focused on his defensive duties so to play him as second striker would be easier for him".