Suarez rejoined his boyhood club in the summer on a free transfer from Atletico Madrid, signing a short-term contract lasting until the start of the upcoming FIFA World Cup in Qatar.
The 35-year-old scored eight goals in 16 appearances in all competitions in his second spell at Nacional, including a brace in a 4-2 victory over Liverpool in the championship decider over the weekend.
Suarez started his career with Nacional before embarking on an illustrious career in Europe, turning out for the likes of Groningen, Ajax Amsterdam, Liverpool, Barcelona and Atletico Madrid.
Suarez has said of a productive stint with Nacional: “I am satisfied to have taken the right step, to have enjoyed this moment, and I am happy to end it like this. [I feel] happiness and pride of having made the right decision. It always generates doubts to have taken the right step but to celebrate with our people and family is priceless.
“I am very grateful because I came for them [the fans], I enjoyed it with them, I have no more words of gratitude but to show it on the field. Today was a perfect night, perfect... people enjoyed it, not only Nacional fans but the fans of Uruguayan football enjoyed having a player who comes from Europe with the mentality that he is still active. Thanks for the love since I arrived until I am leaving today.”
Suarez has been tipped to move to the Major League Soccer after the World Cup.