Connection arrangement for connecting a pipe to a building in the region of an opening of the building, comprising a pipe which is to be guided through the opening of the building and which comprises an externally arranged bearing region, and a connecting element which is connectable with the bearing region of the pipe and which comprises a flange surface, by which the connecting element can be mounted on a support surface on the building side, wherein the bearing region of the pipe comprises at least two bearing sites which are arranged in the direction of the pipe axis in a spaced apart manner, wherein the connecting element comprises a bearing site, wherein said bearing site arranged on the side of the connecting element is formed in a way that it can be moved from a contact position away from the pipe into an adjustment position and from the adjustment position toward the pipe into the contact position, wherein in the contact position the bearing site arranged on the side of the connecting element can be brought into a bearing contact with one of the at least two bearing sites arranged on the pipe side, and wherein in the adjustment position the bearing site arranged on the side of the connecting element is not in contact with the at least two bearing sites arranged on the pipe side, such that the pipe can be displaced with respect to the connecting element in the direction of the pipe axis, characterized in that the bearing site arranged on the side of the connecting element is part of a bearing site ring, which is arranged in a pivotable manner on a carrier ring belonging to the connecting element, about the circumference of the carrier ring, wherein by the pivot movement the bearing site arranged on the side of the connecting element is movable back and forth between the contact position and the adjustment position. a pipe which is to be guided through the opening of the building and which comprises an externally arranged bearing region, and a connecting element which is connectable with the bearing region of the pipe and which comprises a flange surface, by which the connecting element can be mounted on a support surface on the building side, wherein the bearing region of the pipe comprises at least two bearing sites which are arranged in the direction of the pipe axis in a spaced apart manner, wherein the connecting element comprises a bearing site, wherein said bearing site arranged on the side of the connecting element is formed in a way that it can be moved from a contact position away from the pipe into an adjustment position and from the adjustment position toward the pipe into the contact position, wherein in the contact position the bearing site arranged on the side of the connecting element can be brought into a bearing contact with one of the at least two bearing sites arranged on the pipe side, and wherein in the adjustment position the bearing site arranged on the side of the connecting element is not in contact with the at least two bearing sites arranged on the pipe side, such that the pipe can be displaced with respect to the connecting element in the direction of the pipe axis, characterized in that the bearing site arranged on the side of the connecting element is part of a bearing site ring, which is arranged in a pivotable manner on a carrier ring belonging to the connecting element, about the circumference of the carrier ring, wherein by the pivot movement the bearing site arranged on the side of the connecting element is movable back and forth between the contact position and the adjustment position.