The £8million summer signing got off the mark on Wednesday night with a nerveless penalty in the 88th minute to rescue a point against Reading.
However, he complained of an issue in his calf after the match, and is now a doubt for the visit to Pride Park.
"Kenneth felt his calf straight after the game, he’s not sure if it’s a kick, he doesn’t remember if he got one during the game," said Baggies boss Slaven Bilic.
"He has an old injury there with a scar so nothing serious but I’ve seen many times in my career they come two days after the game and say ‘I feel something’.
"We gave them one more hour to sleep because of the game, we’re training at 12 instead of 11. Then we’ll see. The situation is good, we have most of the players available."
After a slow start to the season, Zohore impressed off the bench against Reading, and scored an important penalty under pressure.
"He made an impact, we're not going to risk the players, especially when we have a big enough squad not to risk him," said Bilic. "But if it’s a knock or a kick it’s ok, we're not going to walk on eggs, we have a big game tomorrow and after that we have one week to prepare for Blackburn.
"But we're not going to force it if it’s a big risk. We’re going to see today.
"Two days after the game is when you feel the most fatigue. They felt good yesterday, which is normal, they were still up from the game.
Today they will be a bit flat in training, which we expect. We’re going to do a little bit on positioning and that’ll be it. Hopefully we don’t have many issues injury wise."
Hal Robson-Kanu is also nearing a return after missing the last two games with a back complaint.
"Hal started training a couple of days ago after not training for nine days," said Bilic. "He looks good, he’s a little bit cautious but he’s coming back."