The Baggies are currently just three points above the relegation zone with five games left to play this season.
Reid believes that West Brom must focus on what they need to do to remain in the top flight and not concern themselves with other results elsewhere.
"It's the story of the season that we seem to be doing it the hard way and it's obviously going to go to the last couple of games now," he is quoted as saying by Sky Sports News.
"It's easy to look at the fixtures and the table but we've got to concentrate on picking up results ourselves. We can't rely on the teams around us.
"Two wins would obviously be enough, and going into the final few games of the season we will obviously have teams at the bottom playing teams who have nothing to play for and they can be dangerous games."
West Brom are back in action on Monday when they travel to Manchester City in the Premier League.