The Baggies moved onto the 43-point mark and seventh spot after Saturday's 2-1 home win over Swansea with the help of Romelu Lukaku's 13th goal of the campaign.
Clarke has conceded that Europe may just be beyond Albion but is confident his squad will not take their foot off the pedal in the final quarter of the season.
He said: "The motivation is good. We had a chat before we went to Chelsea last week about moving into the final part of the season.
"I asked them to show me at Stamford Bridge that they had the desire to stay in the top half of the table and to push on.
"I saw enough there despite losing 1-0 to know we could look forward to the last 10 games. We showed that last week and showed it against Swansea.
"It was important for the players that they put on a performance like that and important they got three points against a very good Swansea team."
Clarke added: "They have the hunger. This was our ninth win at home, and not many other teams in the division, will have nine home wins.
"We will try to get more points on the board. That is the only focus, the next game and to get as many points between now and the end of the season.
"Swansea have had a fantastic season, deserve all the accolades they get and have won one of the three domestic trophies.
"But we will look to kick on and finish above them in the table if we can."
Clarke admitted he changed tactics to try and combat the threat of the Swans, who had outplayed Albion in a 3-1 win at the Liberty Stadium.
He said: "We knew we would have to hang in there. We suffered down there in the first 30 minutes and were determined that wouldn't happen that time.
"We had five midfielders in there, they did their job and eventually one of the midfielders getting forward, Graham Dorrans, put the cross in to get us back on level terms.
"When you go behind in this league, it is difficult especially against a team with the quality of Swansea.
"One of their biggest qualities is playing on the counter-attack with pace so to come back and get three points from behind was really good."
Swansea boss Michael Laudrup was incensed by the disallowing of Roland Lamah's late effort for offside when the ball rebounded to him off Baggies keeper Ben Foster and defender Gareth McAuley.
He said: "You can never be offside if you receive the ball from an opponent. That's the rules of football. It has nothing to do with good or bad decisions.
"It is a huge mistake because it is the rules of football. The linesman is standing there. He can see it."
But Swans defender Ashley Williams was more concerned about his side's performance.
He said: "Looking at our performance as a team we could have done better. The incident at the end has gone, there's no point in talking about it.
"Some of the lads spoke to the linesman, I think he admitted it was a mistake but I'm not too sure. I've seen it on video and it's a clear goal.
"It's gone, we need to talk about our performances. When we scored, we stopped playing for some reason.
"We stopped attacking them, they're a good side and a team like that you have to finish off.
"That's the frustrating thing about this game. We did brilliantly last week against Newcastle. This time I felt we took our foot off the pedal and let them back into it.
"As a dressing room we're frustrated. As a team we have to be better than that. We've got to continue to push ourselves, it's not about being safe.
"This was a game we could have won, we let it slip. We'll be disappointed if we don't finish in the top 10."