The 57-year-old admits he is suffering from his worst run as a manager and says "it is out of his hands" whether he will be in charge against Tottenham on Wednesday
The loss at Upton Park was Fulham’s fifth straight defeat in the Premier League, leaving the club with ten points after 13 games.
|10/1||Fulham are 10/1 with BetVictor to finish bottom of the Premier League|
Jol also conceded he was concerned about his position at Craven Cottage long before the loss to Sam Allardyce's side.
He continued: "If I have to worry, I was probably worried a couple of months ago because it’s not from one day to the other, the last two months we’ve been inconsistent.
"I think it worked out for me. We had over 100 points, we had more than West Ham over the last couple of years. But over the last couple of months, sometimes, we have not been strong enough."
Second-half goals from Mohamed Diame, Carlton Cole and Joe Cole sealed the win for West Ham, who moved up to 15th in the table with 13 points.
"I think the only disappointing thing today was that we didn’t score more goals before the subs came on," said Allardyce.
"It was something I was getting pretty nervous about. One slip and Fulham could have capitalised and got something they didn’t deserve.
"We got a performance and a result today. Which is what the manager and every fan wants. We go home a bit more relieved and a bit more comfortable about our position.
"We've only relieved the pressure slightly. No result on Tuesday [against Crystal Palace] would bring us right back down to earth and put the pressure right back onto us."