Swansea striker Luke Moore opened the scoring against his former club but a Jonathan de Guzman own goal and Romelu Lukaku's 13th goal of the season secured the victory.
That takes the Baggies on to 43 points for the campaign to all but secure their Premier League place for another season and Clarke remains impressed at their determination to improve, despite European football looking beyond them.
"The motivation is good. We had a chat before we went to Chelsea last week about moving into the final part of the season," said Clarke.
"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.
"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."
Clarke was pleased to have beaten Capital One Cup winners Swansea, a team he admires but who he feels West Brom should try to finish above in the league.
"Swansea have had a fantastic season, deserve all the accolades they get and have won one of the three domestic trophies," added the Scotsman.
"But we will look to kick on and finish above them in the table if we can."