The present invention relates to a tube-removing machine and method of manufacturing artificial casings by means of said machine, allowing a fast, efficient and automatic cutting of the sections of casing (2) which contain tubes (5), subsequently splicing the remaining casing (2) once said tube (5) is discarded, comprising detection means (10) for detecting the arrival of a tube (5) contained in the casing (2) cutting means (20) for cutting a section of the casing (2) incorporating said tube (5) splicing means (30) for splicing the ends of the cut casing (2) and temporary storage means (40) for storing the casing (2) which allow continually taking in casing (2) in the tube-removing machine (1) during the time used in the cutting and splicing phases, preventing interruptions in the subsequent shirring process.