In November 2020, he qualified for the PDC Europe Super League Darts 2020, where he reached the quarter-finals after finishing top Group B. He won six wins in his seven games, defeating Manfred Bilderl 6–5 in a deciding leg, beating René Eidams 6–1, Dragutin Horvat and Nico Kurz both 6–2, Karsten Koch 6–3, and Thomas Köhnlein 6–4, with his one loss being to Maik Langendorf. He lost to Michael Unterbuchner 8–4 in the quarter-finals.
2021
In his second Super League participation in the 2021 edition, he was eliminated in the preliminary round, finishing bottom of Group D with only 2 points, having only won two of his 10 games, a 6–2 win over Steffen Siepmann and a 6–4 win against René Eidams.[3][4]
2022
He was subsequently unable to win a Tour Card at European Q-School, failing to reach the final stage, but his attendance at Q-School did grant him access to play in the 2022 PDC Challenge Tour series.
On 22 January he reached the quarter-finals at Challenge Tour 3, losing there to Matthew Edgar 5–4 in a deciding leg.[5] He reached a second quarter-final of the year at Challenge Tour 12 on 15 July, being whitewashed there 5–0 by Chas Barstow, who averaged 107.36 to Klose’s 88.45[6] On 17 September Klose reached the semi-finals of Challenge Tour 18. He whitewashed Jim Moston 5–0, averaging 100.20 to Moston's 86.78, to reach his first semi-final of the year from his third quarter-final of the year. He lost to eventual winner Jurjen van der Velde 5–2 in the semi-finals.[7]
On 26 & 27 March, Klose received call–ups for 2022 PDC Players Championship series events 7 and 8 filling in as a reserve for an absent tour card holder virtue of his ranking on the Challenge Tour Order of Merit. This was his PDC Pro Tour debut. He lost in the first round on both occasions, to Steve Lennon 6–1[8] and Brendan Dolan 6–3 respectively.[9]
In November, he again took part in the PDC Europe Super League, where he narrowly lost 8–7 in the semi-finals to eventual winner Florian Hempel.[10]
On 27 November 2023, he took part in the "Tour Card Holder Qualifier", the last opportunity to qualify for the 2024 PDC World Darts Championship. He only just missed out on his World Championship debut when he lost to Darren Webster 7–5 in the final.[12]
