The France goalkeeper - and 2018 World Cup winner - was inexplicably dispossessed inside his own six-yard area by Danny Ings for Saints' equaliser following a back pass.
"You don't need to blame Hugo, blame me because I demand him to play in that way," Pochetteino said.
"I don't want anyone to blame him; in this action I want the blame because I demand him to do what he was doing."
"He [Lloris] is so strong mentally," Pochettino added. "and of course showed that he wasn't affected by this situation."