[4] As a result of injuries sustained by Andreas Palicka and Mikael Appelgren, the main team's goalkeepers, Späth made 26 appearances in the 2020–21 Bundesliga season, earning praise for performing well despite his inexperience.

[5][6] He also made his international club debut in the EHF European League, a competition which the team ended in third place.

Having fought his way into the position as starting goalkeeper, Späth played a large role in clinching the 2023 DHB-Pokal, saving three seven-meter throws in what he called the "biggest moment of [his] career" to date.

[10] He also participated at the 2023 Junior World Championship where Germany won gold again, and he was once again in the All-Star team.

[13] The debutant shone through in a group stage match against North Macedonia, where a string of saves and Späth's impassioned celebrations made headlines.