The invention relates to a packaged LED module (1) comprising a module (2) having at least one LED (3) arranged thereon, and a one-piece package (10, 100) having a receptacle for the module (2), a substantially optically transmissive region (11, 11a, 11b, 11c), which makes it possible to emit light from the LED (3) towards the outside, an opening (16) and potting blocking means (17). The package (10, 100) is embodied in such a way that a potting component is introduced via the opening (16) into the package (10, 100) equipped with the module (2). The introduced potting component forms a potting body (30), which completely fills the package (10, 100), excluding a region between the LED (3) and the substantially optically transmissive region (11, 11a, 11b, 11c) on account of the potting blocking means (17), and which connects the package (10, 100), the module (2) and connecting cables (20) that can be connected to the module (2) in an externally sealing manner.