The anonymous motet a cappella Exsultate gaudete laeti omnes preserved in manuscript, catalogue no. Kk I 1, in the Archives of the Krakow Cathedral Chapter, recorded by the provost of the Rorantists’ Capella, Józef Tadeusz Benedykt Pȩkalski in the mid18th century, is an extremely intriguing composition as far as the question of its author is concerned. This work exhibits many ties and even overt similarities with the style of an eminent representative of the Polish Baroque, Grzegorz Gerwazy Gorczycki (1665/67-1734). The analysis presented in this article reveals the features that clearly link the anonymous motet with the musical language of this composer (evident inter alia in the melodic pattern, texture, and harmonics) without omitting other elements at the same time, those that would not support Gorczycki’s authorship. Thus, although in light of the whole of the observed phenomena Gorczycki’s authorship appears probable, there is no conclusive argument to attribute it to him. Despite the absence of a final conclusion that would clearly settle the matter, the author of the study decided to publish the motet together with its analysis, hoping that another scholar might find some overlooked detail, or encounter helpful concordance, etc, which will allow us to definitively confirm, or, on the contrary, to rule out Gorczycki’s authorship.