Pulis again offered Wenger his backing after a match that saw two planes fly over the Hawthorns, one with a message of support for the 67-year-old and another criticising him.
The Telegraph claims the Frenchman wants to continue his 21-year stay as Arsenal boss beyond the end of his current contract, which expires in the summer.
"I think he probably will be staying because he would have said he will be leaving otherwise".
Cue 48 hours of speculation about what might be going through the Arsenal manager's mind, with some outlets reporting that he had chose to stay and others citing "insiders" insisting no final decision has been made.
Arsenal have not approached Borussia Dortmund coach Thomas Tuchel about replacing Arsene Wenger, sources have told ESPN FC.
According to Staff at the club's London Colney training base, Wenger is showing a positive change in his mood which is being viewed as an indication that he has made a decision to stay. That will be put to the test if and when Wenger does tell them that he's not quite done at the club yet. It will not necessarily be linked with the top four because I've done that 20 times. "I take a bigger perspective than that".
That is the question on everyone's lips regarding Arsenal manager Arsene Wenger.
As you might expect, plenty of Arsenal supporters weren't too happy about it. 'It's not the last result that will decide what I will do.
"I'll be surprised if he goes", Pulis said after the game.
"If they finished outside the top four it would be a nightmare but it might give him the best chance of winning the Premier League, just look at Chelsea and how well they've done without Champions League football".