A sleeve for pressing a sealing sleeve on to a first and a second pipe (14, 16), which are connected to each other by means of said sealing sleeve, wherein to form the connection a first of two end segments (18, 20) of said sealing sleeve receives a pipe end segment of said first pipe and the second end segment receives a pipe end segment of said second pipe, wherein said sleeve has a plurality of first pressing elements and a plurality of second pressing elements, wherein each first and each second pressing element (32, 40) consists at least partly of a deformable material, wherein said first pressing elements are arranged consecutively along a circumference of a first circle and form a first sleeve end segment with a first opening for receiving said first end segment of said sealing sleeve, wherein said second pressing elements are arranged consecutively along a circumference of a second circle and form a second sleeve end segment with a second opening for receiving said second end segment of said sealing sleeve, wherein at least one first pressing element is connected to a second pressing element by at least one deformable connecting element, wherein in each case two adjacent first pressing elements of said first sleeve end segment overlap in a radial direction of said first circle within an overlap region, wherein one of the two adjacent first pressing elements is movably attached to the other first pressing element in each case, and wherein said overlap region can be enlarged by moving said adjacent first pressing elements towards each other or can be diminished by moving said adjacent first pressing elements away from each other, wherein in each case two adjacent second pressing elements of said second sleeve end segment overlap in a radial direction of said second circle within an overlap region, wherein one of the two adjacent second pressing elements is movably attached to the other second pressing element in each case, and wherein said overlap region can be enlarged by moving said adjacent second pressing elements towards each other or can be diminished by moving said adjacent second pressing elements away from each other, wherein each first pressing element has at least one first pressing surface, which is provided for pressing said first end segment of said sealing sleeve on to said pipe end segment of said first pipe when this is received in said first opening, wherein each second pressing element has at least one second pressing surface which is provided for pressing said second end segment of said sealing sleeve on to said pipe end segment of said second pipe when this is received in said second opening, wherein by enlarging all the overlap regions of said first sleeve end segment said first opening of said first sleeve end segment can be narrowed by deforming all said first pressing elements, wherein by enlarging all said overlap regions of said second sleeve end segment said second opening of said second sleeve end segment can be narrowed by deforming all said second pressing elements, wherein by narrowing said first opening said first pressing surfaces of all said first pressing elements can be pressed on to said first end segment of said sealing sleeve, and wherein by narrowing said second opening said second pressing surfaces of all said second pressing elements can be pressed on to said second end segment of said sealing sleeve, characterised in that said connecting element has at least one aperture.