The former Reading man and his strike partner have found the net just seven times between them this season, and the Irishman knows if they do not up their game they could face axe
Long, who signed from Championship outfit Reading in the summer, has scored five goals in the Premier League. His striker partner Odemwingie has managed just two.
While the Irishman concedes they have both had their injury problems, he knows the two must start scoring if they are to maintain their places at the spearhead of the Baggies attack.
"Our partnership will blossom in time but there are more options for the manager if not," he told reporters.
"It's not been too good so far. We've both been unlucky with injury and need time to understand each other's runs.”
Having made the step up from Championship football, Long says he looks up to his strike partner Odemwingie, who hit 15 Premier League goals in his first season in English football.
"Peter is obviously a very good striker and he knows what he's doing,” he added.
“I learn a lot off him. I watched him on TV last season and set myself the target to get to his level and show that I can cut it too."