The Baggies had a disappointing 2-0 home loss to Stoke City on the weekend but Mowbray has not given up hope.
"This is a huge disappointment," admitted Mowbray.
"It makes life very difficult for us.
"We talked about having two big home games against Bolton and Stoke and we've taken one point.
"Ultimately we weren't good enough today and didn't get the result and Stoke came and did the job.
"But no-one at our club is going to capitulate and we have got seven games to play.
"There is less expectation about the games on the road. They might be able to go and get some results. Let's wait and see.
"I don't think today is a day for losing tempers. I wouldn't accuse them of lack of effort or determination.
"We got hurt today by what we've been hurt by all season really - poor goals and poor defending."