The veteran centre-back has made just five appearances for the Baggies this season following the arrival of Jonny Evans from Manchester United.
However, Olsson was reinstated to the starting XI for last weekend’s 2-1 win over Arsenal in place of the suspended Gareth McAuley.
Unfortunately for Olsson, the Northern Ireland international is available for selection again, meaning that Pulis must make a tough decision ahead of Sunday’s visit to Upton Park.
But 32-year-old Olsson is hoping that he can finally stake a claim for regular first-team football, telling Express and Star: “Gareth has done ever so well since he came to the club and he has done well this season.
“We will see how the gaffer sets up. What I do feel from experience is going into these games around Christmas, you need a squad of 20-25 players for this intense period.
“I’m sure I’ll get some minutes, hopefully starting at the weekend, but it’s down to the gaffer.
“You’re always hoping to get minutes. I’ve been in and out of the team this season. It’s something you have to accept but I thought I had a good game.
“Hopefully, I’ve strengthened my chances to start against West Ham.”
Olsson joined West Brom in 2008 from Dutch outfit NEC Nijmegen and has also been capped 25 times by Sweden after making his international debut in 2010.