A machine for making plug wraps for the tobacco industry, comprising: - an unwinding station configured to unwind a continuous web of wrapping material for the tobacco industry from a roll along a feed path (P), the continuous web having on one side a succession of equispaced additional elements ; - a cutting station disposed along the feed path (P) and configured to transversely cut the continuous web by making a succession of cuts at a predetermined position to obtain a succession of plug wraps , each comprising at least one additional element ; - a detecting device disposed upstream of the cutting station and configured to detect the position of the additional elements along the feed path (P); - adjustment means for adjusting the feed path (P) of the continuous web , disposed upstream of the cutting station and configured to modify the geometry of the feed path (P) of the continuous web in such a way as to adjust the position of the continuous web , hence of the additional elements , along the feed path (P); - a control unit connected to the detecting device and to the adjustment means and acting on the adjustment means to set a variation in the feed path (P) of the continuous web as a function of the position of each additional element detected by the detecting device ; characterized in that it comprises: - an inspecting device , preferably an optical sensor , disposed downstream of the cutting station and configured to detect the position of the additional elements on the individual plug wraps , wherein the inspecting device is connected to the control unit , the control unit being configured to set a variation in the feed path (P) of the continuous web as a function of the position of each additional element detected by the inspecting device . - an unwinding station configured to unwind a continuous web of wrapping material for the tobacco industry from a roll along a feed path (P), the continuous web having on one side a succession of equispaced additional elements ; - a cutting station disposed along the feed path (P) and configured to transversely cut the continuous web by making a succession of cuts at a predetermined position to obtain a succession of plug wraps , each comprising at least one additional element ; - a detecting device disposed upstream of the cutting station and configured to detect the position of the additional elements along the feed path (P); - adjustment means for adjusting the feed path (P) of the continuous web , disposed upstream of the cutting station and configured to modify the geometry of the feed path (P) of the continuous web in such a way as to adjust the position of the continuous web , hence of the additional elements , along the feed path (P); - a control unit connected to the detecting device and to the adjustment means and acting on the adjustment means to set a variation in the feed path (P) of the continuous web as a function of the position of each additional element detected by the detecting device ; - an inspecting device , preferably an optical sensor , disposed downstream of the cutting station and configured to detect the position of the additional elements on the individual plug wraps , wherein the inspecting device is connected to the control unit , the control unit being configured to set a variation in the feed path (P) of the continuous web as a function of the position of each additional element detected by the inspecting device . <EOS>