"The goal against West Ham was down to his back spasm," Lescott told the Daily Mirror. "Obviously he was disappointed to concede and, knowing Joe, he'll be gutted for a week now.
"It was one of those things but we have no qualms with Joe at all, at any stage of the season. Joe will play it down but I know he really beats himself up about these things."
Hart has 15 clean sheets for the season - two ahead of Chelsea goalkeeper Petr Cech - and is on course for his third golden gloves award in a row.
"He's on course for the Golden Glove again and he prides himself on that," Lescott added.
"He's got 15 clean sheets this season and I know that award means a lot to him. He'll just get his head down in training and try and better himself as he does every week."
Hart has 30 caps for England.