And Solskjaer - who is unbeaten in his nine games in charge - believes they can move into the Champions League places sooner than he initially expected.
"I feel it's very [well] equipped," the Norwegian said
"We've had now six weeks together. We've found out what strengths, weaknesses we've got.
"I think we've risen to most of the challenges, maybe of course the setback of the two Burnley goals we conceded, maybe they will make us move to the next level because I think we've given ourselves a chance now to get into the top four maybe earlier than we thought.
"It's not too many games, there's still a week between every single one of them but it's tough opposition. Definitely.
Ole Gunnar Solskjaer is eyeing Champions League football next season (Image: GETTY)
"You start with this game against Leicester, Fulham away as well is also a tough one.
"Then you've got the three big ones you can call it, with PSG, Chelsea and Liverpool after each other.
“Then a very hard one, when you think you've done with those three, with Palace away. So it's a tough month - but we're ready.
"I've got a big squad, it's only Marcos Rojo now who's out for a period, the rest are fit and available."
Solskjaer is yet to lose since taking over as interim manager at Manchester United (Image: GETTY)
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Phil Jones praised his boss for improving the mood at Old Trafford (Image: GETTY)
Solsksjaer has won eight and drawnonof his nine games as interim United boss and defender Phil Jones said he had completely changed the mood when speaking ahead of their game with Leicester.
“He's brought a freshness about the place,” Jones said.
"He's come in and wanted to move us forward and bring those happy times back, and I think he's done that.
"His man-management skills are very good. He'll let players know what's happening, and asplayersthat's all you can ask for.
"You just want a manager to be honest with you, and that's exactly what he gives you."