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That's according to talkSPORT host Simon Jordan, who has insisted that Solskjaer will not "reach the standards that I think Frank Lampard will."
Lampard is under pressure at Chelsea after suffering a 2-0 defeat to Leicester City at the King Power on Tuesday.
The Blues, who splashed out over £200m in the summer as part of Lampard's rehaul, are languishing in eighth place and are five points behind fourth-placed Liverpool.
Paul Pogba's sensational strike against Fulham on Wednesday ensured that the Red Devils returned to the top of the table ahead of rivals Manchester City.
However, Jordan is convinced that Solskjaer doesn't have the "capability to be an elite manager" like Lampard could someday.
Speaking on talkSPORT, the former Crystal Palace chairman explained: "I have a belief, whether it is ill-founded or out of place, that Frank Lampard will achieve things and I don't have the belief that Ole Gunnar Solskjaer will.
"The comparing and contrasting is irrelevant because I don't believe that Ole Gunnar Solskjaer will reach the standards that I think Frank Lampard will.
"I don't believe Solskjaer will bridge the gap at any point and I believe there is a distinct possibility that Frank Lampard will.
"Whether that means that Roman Abramovich will give him the time to do it, that is a different discussion.
"The reasons why I attach a different level of rhetoric to Lampard than I do to Solskjaer is that my belief is that Lampard has the capability to be an elite manager.
"And I don't believe Ole Gunnar Solskjaer does."
Jason Cundy has said that Solskjaer does deserve "some credit" for what he has done, adding that "what Man United have done is remarkable."
The 51-year-old former Chelsea player said: "I've absolutely torn into Ole -- and with some justification.
"You're getting knocked out of the Champions League when you need a draw at Leipzig, that's not elite.
"For Man United, they should've gone through. But I have also given Ole some credit.
"Things can change in football, but right now, what Man United have done is remarkable."
Featured Image Credit: PA
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