Nuno Espirito Santo’s future at Tottenham is understood to be under discussion by chairman Daniel Levy and the board.
Tottenham are eighth in the Premier League and have lost their last two top-flight games against West Ham and Manchester United.
Nuno would not discuss his future following Saturday night’s 3-0 loss at home to United, but said he would work hard to turn things around.
After his side’s latest defeat, Nuno told Sky Sports: “We are not on the right track. I totally understand the criticism.
“It’s part of football. When the team doesn’t perform, the fans suffer. The fans are not happy, they have showed they’re not happy.
“It’s up to us to take it, tell them we try our best, tell them we are sorry because we didn’t perform as we wanted.
“We keep on trying. And in a humble way ask them support us all the way.”
Sky Sports News has approached Tottenham for a response but the club are not offering any comment on the future of their head coach.
Tottenham fans booed Nuno’s decision to replace Lucas Moura with Steven Bergwijn in the second half of the defeat to United.
Sections of the Spurs support also chanted “we want Levy out”, with England captain Harry Kane also a target of frustration for some fans.
Tottenham have lost four out of their last six Premier League games and are eighth in the table after 10 games played this term.
In June, Nuno was appointed on a two-year contract at the Tottenham Hotspur Stadium with an option to extend for a further year.
Prior to his arrival in north London, the Portuguese enjoyed a successful tenure in charge of Wolves, who he guided to promotion to the Premier League in the 2017/18 campaign and the quarter-finals of the Europa League in the 2019/20 season.