The Spaniard hasn’t performed to his usual standards this season as United have struggled to keep clean sheets both at home and on the road.
De Gea has now only managed to keep two at Old Trafford this term, which is the lowest of any team in the Premier League.
To add, the usually-reliable shot-stopper has now suffered three howlers in recent weeks, each leading to goals for the opposition.
After allowing Lionel Messi’s tame effort to beat him in the Champions League, De Gea failed to keep out a Leroy Sane shot that was fired straight at him in midweek.
And today the 28-year-old was at fault for Chelsea’s equaliser as he fumbled a long-range effort from Antonio Rudiger into the path of Marcos Alonso.
But Solskjaer is not ready to drop his No 1 between now and the end of the season.
“No I don’t really because I know David,” Solskjaer said when asked if he was concerned.
“When you’re a goalkeeper or a striker you’re always in the spotlight and any time you miss a chance or score you get good or bad headlines, it’s the same with David, he’s been in the spotlight for right reasons for so long and now he’s going through a period where he feels he could have done better.
“But, no, I don’t have any worries about him, because he’s a strong character.
“There’s many different ways of getting back to your best performances and, of course I’ll sit down and speak to David, as I’ve done when he’s played well, and he’s not the reason we’re sixth.
“He’s got two great keepers underneath him in Sergio and Lee [Grant].
“Fantastic atmosphere between them and Sergio’s played well every time he’s played.
“Lee’s fantastic in training, they keep pushing each other.
“You cannot say there’s any complacency, David is not the type to be complacent, he’s a competitor, he wants to be the best and, for whatever reason, whenever I didn’t score a goal my confidence dropped if I missed some chances and David knows he could have done better with the goal, there’s no reason hiding that.
“But there’s no chance any of us will point fingers because he’s saved us so many times.”
United now face an uphill battle to finish in the top-four after today’s result.