However, the manager insisted the two spot-kicks his side missed at Norwich on Sunday should have been re-taken.
Both Marcus Rashford and Anthony Martial had efforts saved by Canaries keeper Tim Krul in the first half.
United’s first was awarded controversially with Ben Godfrey adjudged to have fouled Daniel James and the penalty was confirmed following a VAR review.
The second one was given when Todd Cantwell handled the ball in the box.
Fortunately for United, their misses didn’t prevent them from getting the three points as goals from Scott McTominay, Rashford and Martial helped them run out 3-1 winners.
The Red Devils have now missed four out of the six penalties they’ve been awarded in the Premier League this season.
But Solskjaer believes both of their spot-kicks should have been taken again as Krul was off his line when denying Rashford and Martial.
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The Norwegian also admitted that United’s first penalty probably shouldn’t have been given in the first place.
Speaking to talkSPORT’s Joe Shennan, Solskaer said: “I don’t think the first one is a penalty. I think the second one is because his hands are up.
“But I think both should have been re-taken because the keeper’s off his line.
“Tim Krul is absolutely brilliant on penalties. That’s why Holland took Cillessen off and put him on [in the 2014 World Cup quarter-finals].
“It’s like the six-second rule back in the day. That was used for a couple of months and then it’s gone and now stepping off the line is gone.
“With the first one it takes more than two minutes to make a decision so it’s not a clear and obvious error. It should be ten seconds and you see the error. I don’t think it’s a penalty.