The Liverpool forward's brace sunk Peru in the semi-finals and left La Celeste on the threshold of what would be a record 15th title, breaking their current logjam with quarter-final victims Argentina.
Suarez said: "We'll not forget about those titles, but we are thinking about the present, about carrying on winning. Uruguay are not going to waste time celebrating past achievements and past titles."
Should the 24-year-old find the target against Paraguay he would likely end up as top scorer, as he is currently joint-leading marksman with Argentina's Sergio Aguero on three goals.
However, Suarez insisted he is not bothered about personal honours: "Being top scorer is not the important thing for me. The main issue is the collective dream of winning the Copa. Personal stuff is secondary to that."
Suarez, who joined Liverpool from Ajax last season, gives coach Oscar Tabarez much of the credit for transforming Uruguay's fortunes.
The 64-year-old took over in 2006 and led the team to the 2010 FIFA World Cup South Africa™ semi-finals, while he stressed after the win over Peru that it was laying the groundwork at more junior levels which was the foundation of their recent form.
Suarez said: "The U-20 team has been doing well, qualifying for the London Olympics, while the U-17 side were runners-up at their world championship and we were fourth at the World Cup in South Africa. Now we are in the final of the Copa."