Wrapping apparatus for wrapping an object contained in a chamber (Ch), wherein a wrapping material inlet leads into the chamber (Ch), wherein the wrapping apparatus comprises - a web moving member (3, 20, 48) positioned outside of the chamber (Ch), - a web moving actuator, and - a severing device (4, 5, 19, 25) comprising a moveable severing member (4, 5) being moveable between a parking position (Fig. 3) and a web severing position (Fig. 5), wherein the wrapping apparatus further comprises a mechanical coupling element (2.2, 11) for coupling the web moving member (3, 20, 48) with the moveable severing member (4, 5), wherein the web moving member (3, 20, 48) - is moveable with respect to the wrapping material inlet between at least one remote position (Fig. 2, Fig. 4, Fig. 5) and an adjacent position (Fig. 3) and - is arranged for moving a web of wrapping material towards the wrapping material inlet while being moved into the adjacent position (Fig. 3), wherein the web moving actuator is arranged for moving the web moving member (3, 20, 48) with respect to the wrapping material inlet between both positions, wherein the wrapping apparatus is arranged to inject the moved web of wrapping material through the wrapping material inlet into the chamber (Ch), and wherein the severing device (4, 5, 19, 25) with the moveable severing member (4, 5) being moved into the web severing position (Fig. 5) is arranged to sever the web at a severing location positioned outside of the chamber (Ch) after the web is injected into the chamber (Ch), wherein the severing device (4, 5, 19, 25) further comprises a severing actuator operable independently from the web moving actuator, wherein the moveable severing member (4, 5) is further moveable into an intermediate position (Fig. 2, Fig. 4), wherein the moveable severing member (4, 5) being in the intermediate position (Fig. 2, Fig. 4) - is spaced apart from the web and - has a smaller distance to the web compared with the moveable severing member (4, 5) being in the parking position (Fig. 3) and a larger distance compared with the moveable severing member (4, 5) being in the web severing position (Fig. 5), wherein the mechanical coupling element (2.2, 11) couples a movement of the web moving member (3, 20, 48) - from a first position (Fig. 3) - into a second position (Fig. 4) with a movement of the moveable severing member (4, 5) - from the parking position (Fig. 3) - into the intermediate position (Fig. 2, Fig. 4), wherein the wrapping apparatus is arranged to temporarily keep the web moving member (3, 20, 48) in the second position (Fig. 4), thereby causing the mechanical coupling element (2.2, 11) to simultaneously keep the moveable severing member (4, 5) in the intermediate position (Fig. 2, Fig. 4), and wherein the severing actuator is arranged to move the moveable severing member (4, 5) - from the intermediate position (Fig. 2, Fig. 4) into the web severing position (Fig. 5) and - from the web severing position (Fig. 5) back into the intermediate position (Fig. 2, Fig. 4), characterized in that the wrapping apparatus comprises a position sensor which is arranged to detect the event that the web moving member (3, 20, 48) or that the moveable severing member (4, 5) has reached a given position with respect to the wrapping material inlet, wherein the wrapping apparatus is arranged to trigger the severing actuator for moving the moveable severing member (4, 5) into the web severing position depending on signals from the position sensor. - a web moving member (3, 20, 48) positioned outside of the chamber (Ch), - a web moving actuator, and - a severing device (4, 5, 19, 25) comprising a moveable severing member (4, 5) being moveable between a parking position (Fig. 3) and a web severing position (Fig. 5), - is moveable with respect to the wrapping material inlet between at least one remote position (Fig. 2, Fig. 4, Fig. 5) and an adjacent position (Fig. 3) and - is arranged for moving a web of wrapping material towards the wrapping material inlet while being moved into the adjacent position (Fig. 3), - is spaced apart from the web and - has a smaller distance to the web compared with the moveable severing member (4, 5) being in the parking position (Fig. 3) and a larger distance compared with the moveable severing member (4, 5) being in the web severing position (Fig. 5), - from a first position (Fig. 3) - into a second position (Fig. 4) - from the parking position (Fig. 3) - into the intermediate position (Fig. 2, Fig. 4), - from the intermediate position (Fig. 2, Fig. 4) into the web severing position (Fig. 5) and - from the web severing position (Fig. 5) back into the intermediate position (Fig. 2, Fig. 4),