The Spaniard was at fault for Chelsea’s equaliser in Sunday’s 1-1 draw after spilling Antonio Rudiger long-range effort, which allowed Marcos Alonso to slot home the rebound.
It was De Gea’s third error leading to a goal in his last four games – and his second blunder in less than a week as he failed to keep out Leroy Sane’s strike in a 2-0 defeat to Manchester City.
United are in danger of missing out on Champions League football as they trail fourth-placed Chelsea by three points with two games to go.
But De Gea, whose contract expires next summer, has been backed to return to form by his manager.
Solskjaer said: “He’s been in the spotlight for the right reasons for so long, now he’s going through a period where he probably feels he could have done better.
“I don’t have any worries about him because he’s a strong character.
“Of course I’ll sit down and speak to David as I’ve done when he’s played well. But he’s not the reason why we’re in the sixth position at the moment.
“You cannot say there is any complacency, David is not the type to sit down and be complacent. He is a competitor and he wants to be the best.
“David knows he could have done better with the goal, there’s no reason to hide that, but there’s no chance any of us will point fingers because he’s saved us so many times.”
United’s potential failure to secure Champions League football could see them lose De Gea and Paul Pogba.
Solskjaer’s men will need to beat Huddersfield and Cardiff to stand any chance of overcoming top-four rivals Chelsea and Arsenal.