On 11 March 2020, following Atlético Madrid's 3–2 away victory over defending champions Liverpool in the last 16 of the UEFA Champions League, Oblak, playing his fiftieth Champions League game, was awarded the Man of the Match award by UEFA, after making nine saves to help his team progress to the quarter-finals with a 4–2 aggregate victory. On 17 June 2020, Oblak kept a clean sheet in a 5–0 away win against Osasuna, his 182nd league game, and by doing so, became the fastest goalkeeper to achieve 100 clean sheets landmark in La Liga history, breaking an almost 50-year old record of Miguel Reina who did the same in 222 league appearances. Oblak also became the first non-Spanish goalkeeper to keep 100 clean sheets in La Liga history. On 27 June 2020, Oblak played his 250th game for Atlético as his side beat Deportivo Alavés 2–1. He has reached the milestone just one week after equalling José Francisco Molina as the second goalkeeper with the most appearances in the club's history.