The Cottagers moved out of the bottom three but are still searching for their first victory after sharing the points for the fourth time this season.
Jol's side had enough chances to have wrapped up victory and dominated the opening 45 minutes but failed to make their superiority count before Albion improved after the break.
Jol, who had a spell in midfield for the midlands side in the early 1980s, said: "I know West Brom. I played here. It looked like an away game for them.
"It was good. We had all the possession, we could play around them in midfield.
"They changed their system, playing three up instead of two strikers, and we could play in the gaps.
"The only thing is you need to finish them off. We had three or four possibilities. I think we looked the better team.
"We had the ball against bar and post, we had a few shots, we can probably do better in the future.
"I feel if you play the way we do, with four or five draws, it is a bit disappointing and I think we are in a false position."
Jol praised the performance of 19-year-old Swiss midfielder Pajtim Kasami.
He said: "Kasami is strong. Normally if you are 19 you are a bit weak but he came and is like an English player, with a lot of skill.
"Sometimes I am happy with him but sometimes I feel he should learn a bit better but he gives us quality."
West Brom's former Fulham boss Roy Hodgson admitted he had been wrong to alter his formation from 4-4-2 to 4-3-3. He reverted back to a familiar shape in the second period, with improved results.
He said: "In the first half we didn't play at all well. I take some responsibility for that because we tampered with our way of playing and the system.
"It didn't work particularly well and I didn't even recognise some of the players in terms of the number of times we gave the ball away.
"In the second half we pushed Peter Odemwingie more central again, Chris Brunt out wide, and went back to a more classic 4-4-2 system and dominated the game."
Hodgson is refusing to panic despite West Brom remaining in the bottom three.
He said: "There are no false positions. Lots of teams are relegation candidates.
"It is not where you are after six games, it is after 38 games and if we need to start panicking about relegation, we will do that in the spring, not now."
Source: Team Talk
Source: Team Talk