The 26-year-old has three goals in just two appearances following his ten-match dating back to last April.
During the time he was suspended Suarez's only competitive matches came for his national team, scoring three times in four matches at the FIFA Confederations Cup and then twice in the qualifying victory over Peru last month.
But he thinks his return in a Reds shirt can help even more ahead of of Friday's crucial clash against Ecuador, who hold the fourth and final automatic qualification spot, which is then followed their final game at home to Argentina.
"I feel very happy because I have returned to play at the club and that helps," Suarez told reporters on his arrival in Montevideo.
"Playing in Quito is difficult and we are aware that they have a a lot at stake. We cannot be complacent, we are realistic. We have been winning and doing things right, but we cannot rely on anything.
"A couple of months ago we were resigned to the play-offs, now all we want, based on the good results, is qualifying outright. We know we have the team to push through qualifying to reach the World Cup."