Liverpool slumped to a sixth straight Anfield loss when Fulham's 1-0 victory deepened the Premier League champions' struggles.
The Reds, who won the title last season by 18 points, had gone 68 home league matches unbeaten before their current club-record run started with defeat to Burnley in January.
Since then they have also lost on home soil to Brighton, Manchester City, Everton, Chelsea and now Fulham.
Jurgen Klopp's side, who finished the day eighth in the table and 22 points behind leaders Manchester City, have yet to score a goal in open play at home in 2021.
“Believe me these boys want to [win]," Klopp said. “We don’t have the mentality we are used to but the boys want to win games and I saw that today. We still made mistakes and that’s the problem."
Liverpool are the first side to lose six in a row at home in the Premier League since Huddersfield Town's seven-match streak in 2019.
The six defeats are their most in a single campaign since 1953/54 (also six), when they finished bottom of the top flight.
Liverpool's horror run
January 21: Liverpool 0 Burnley 1
February 3: Liverpool 0 Brighton 1
February 7: Liverpool 1 Manchester City 4
February 20: Liverpool 0 Everton 2
March 4: Liverpool 0 Chelsea 1
March 7: Liverpool 0 Fulham 1