The Baggies are assured of a fourth successive season of Barclays Premier League football and have only a remote chance of securing a Europa League spot.
But Clarke is adamant his players will not rest on their laurels ahead of the encounter with West Ham at Upton Park.
Former West Ham number two Clarke said: "We are professional, we want to finish as high as we can with as many points as we can.
"The next target for us is to get more points than we did in the last two seasons which is 47.
"If we win at the weekend we will equal that, and it will give us seven games to better it.
"For anyone to question our commitment or our desire to do well for the last eight games is wrong."