Sleeve for pressing a sealing sleeve onto a first and a second pipe (14, 16), which are connected to one another via the sealing sleeve, wherein, in order to form the connection, a first of two end portions (18, 20) of the sealing sleeve accommodates an end portion of the first pipe and the second end portion accommodates an end portion of the second pipe, wherein the sleeve has a plurality of first pressing-on elements and a plurality of second pressing-on elements, wherein each first and each second pressing-on element (32, 40) consists, at least in part, of a deformable material, wherein the first pressing-on elements are arranged one after the other along a circumference of a first circle and form a first sleeve end portion with a first opening for accommodating the first end portion of the sealing sleeve, wherein the second pressing-on elements are arranged one after the other along a circumference of a second circle and form a second sleeve end portion with a second opening for accommodating the second end portion of the sealing sleeve, wherein at least one first pressing-on element is connected to a second pressing-on element by at least one deformable connecting element, wherein in each case two adjacent first pressing-on elements of the first sleeve end portion overlap in the radial direction of the first circle within an overlapping region, wherein one of the two adjacent first pressing-on elements is fitted in a movable manner on the respective other first pressing-on element, and wherein the overlapping region can be increased in size by virtue of the adjacent first pressing-on elements being moved toward one another or can be reduced in size by virtue of the adjacent first pressing-on elements being moved away from one another, wherein in each case two adjacent second pressing-on elements of the second sleeve end portion overlap in the radial direction of the second circle within an overlapping region, wherein one of the two adjacent second pressing-on elements is fitted in a movable manner on the respective other second pressing-on element, and wherein the overlapping region can be increased in size by virtue of the adjacent second pressing-on elements being moved toward one another and can be reduced in size by virtue of the adjacent second pressing-on elements being moved away from one another, wherein each first pressing-on element has at least one first pressing-on surface, which is provided for pressing the first end portion of the sealing sleeve onto the end portion of the first pipe when said pipe end portion is accommodated in the first opening, wherein each second pressing-on element has at least one second pressing-on surface, which is provided for pressing the second end portion of the sealing sleeve onto the end portion of the second pipe when said pipe end portion is accommodated in the second opening, wherein increasing the size of all the overlapping regions of the first sleeve end portion makes it possible to narrow the first opening of the first sleeve end portion, all the first pressing-on elements being deformed in the process, wherein increasing the size of all the overlapping regions of the second sleeve end portion makes it possible to narrow the second opening of the second sleeve end portion, all the second pressing-on elements being deformed in the process, wherein narrowing the first opening makes it possible for the first pressing-on surfaces of all the first pressing-on elements to be pressed onto the first end portion of the sealing sleeve, and wherein narrowing the second opening makes it possible for the second pressing-on surfaces of all the second pressing-on elements to be pressed onto the second end portion of the sealing sleeve.