Struggling Spurs are the only team in the top flight without a league win in 2026.
When the Ossie Ardiles-led side suffered a similar 10-match winless run 22 years ago, they finished 15th and avoided relegation by just three points.
Croatian Igor Tudor has a reputation for getting teams out of trouble, but Spurs have now lost both games in charge - and look frail defensively, while struggling to create a large amount of chances.
They only had one shot on target, which was Richarlison's goal, and more clinical finishing from Fulham would have sealed the outcome a lot earlier.
In his first news conference, Tudor said he was "100%" confident Spurs would stay up.
However, the second-half capitulation against Arsenal and the Craven Cottage loss will be a reality check and show just how much work he has to do.
Apart from a Pape Sarr effort in the 89th minute which went into the side-netting and a blocked shot from Joao Palhinha in the sixth minute of added time, Spurs rarely looked like getting a leveller.