On 24 February 2024, Asp Jensen made his professional debut during a 1–0 win Regionalliga Bayern match over Viktoria Aschaffenburg.

[4] A week later on 16 March, Asp Jensen started and scored his second goal for the club during a 4–0 Regionalliga Bayern away win match against FC Memmingen.

[5] On 12 May 2024, he made his Bundesliga debut for the senior team of Bayern Munich, coming off the bench to substitute Lovro Zvonarek, in a 2–0 win over VfL Wolfsburg.

[6] Asp Jensen was called-up with the Bayern Munich senior team for a friendly match on 6 January 2025, after the 2024 winter break concluded, in which he substituted Joshua Kimmich at the 63rd minute of a 6–0 win over Austrian Bundesliga club Red Bull Salzburg, scoring the sixth and last goal at the 77th minute.

[7] Asp Jensen has represented Denmark internationally at youth level.