The Red Devils appointed their former striker Solskjaer as their interim manager earlier this month after Manchester United parted company Jose Mourinho following a 3-1 loss to Liverpool FC.
Solskjaer led Manchester United to a 5-1 victory over his former employers Cardiff City in his first Premier League game in charge of the 20-time English champions last week.
The Red Devils followed up that result with a 3-1 win against Huddersfield Town at Old Trafford on Boxing Day, breathing life into their hopes of securing a top-four finish.
They then followed that up with another impressive 4-1 win over Bournemouth at Old Trafford on Sunday.
Manchester United still do have significant ground to make up on Chelsea FC and Arsenal in the top-four race as Solskjaer’s side look to ensure their continued participation in the Premier League.
Asked what Solskjaer will be expected to achieve in the remaining games of the Premier League season at Old Trafford during his weekly question and answer session in the Daily Mail, Keown replied:
“At Cardiff, Solskjaer oversaw 30 games as manager and won only nine,” Keown told the Daily Mail.
“At United, he now has 20 Premier League games to oversee and they will be expected to win the majority of them.
“He has the players at his disposal to do well and he is someone who is entrenched in the Manchester United way.”
Manchester United finished in second place in the Premier League table last term but the Red Devils will do well to secure a top-four spot this season.
They will face Newcastle United in their first Premier League game of 2019 on Wednesday night as Solskjaer looks to continue his side’s strong form.
The 20-time English champions will take on Ligue 1 side Paris Saint-Germain in the Champions League round of 16 in February.
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