Pipe-connecting arrangement having a first pipe piece and having a second pipe piece, which extend along a longitudinal axis, and having a clamping clip, wherein the clamping clip is configured to connect the first and second pipe pieces (3, 5) to one another, and to prevent them from moving away from one another along the longitudinal axis, wherein provision is made of a holding ring which is attached by means of a sealing connection to the second pipe piece and against which a first sealing ring running around the longitudinal axis in an encircling manner is held, wherein, on the first pipe piece, provision is made of an encircling first sealing surface which extends along the longitudinal axis and against which the first sealing ring abuts, wherein, as a result of the sealing connection and the abutment of the first sealing ring against the first sealing surface, the interior of the first and second pipe pieces (3, 5) is sealed off with respect to the surroundings between the first pipe piece and the second pipe piece, wherein, when a first clamping surface on the first pipe piece and a second clamping surface on the second pipe piece abut against the clamping clip, a clearance is formed between a first end surface on the first pipe piece and a second end surface on the second pipe piece and the first and second pipe pieces (3, 5) can move towards one another without the first sealing ring coming out of abutment with the first sealing surface, characterized in that the first sealing surface is provided on the outer side, facing away from the longitudinal axis, of the first pipe piece, wherein, on the first pipe piece, provision is made of a first stop element which is connected fixedly to the first pipe piece and on which the first end surface is formed, and wherein the first clamping surface is formed on the first stop element. wherein the clamping clip is configured to connect the first and second pipe pieces (3, 5) to one another, and to prevent them from moving away from one another along the longitudinal axis, wherein provision is made of a holding ring which is attached by means of a sealing connection to the second pipe piece and against which a first sealing ring running around the longitudinal axis in an encircling manner is held, wherein, on the first pipe piece, provision is made of an encircling first sealing surface which extends along the longitudinal axis and against which the first sealing ring abuts, wherein, as a result of the sealing connection and the abutment of the first sealing ring against the first sealing surface, the interior of the first and second pipe pieces (3, 5) is sealed off with respect to the surroundings between the first pipe piece and the second pipe piece, wherein, when a first clamping surface on the first pipe piece and a second clamping surface on the second pipe piece abut against the clamping clip, a clearance is formed between a first end surface on the first pipe piece and a second end surface on the second pipe piece and the first and second pipe pieces (3, 5) can move towards one another without the first sealing ring coming out of abutment with the first sealing surface, characterized in that the first sealing surface is provided on the outer side, facing away from the longitudinal axis, of the first pipe piece, wherein, on the first pipe piece, provision is made of a first stop element which is connected fixedly to the first pipe piece and on which the first end surface is formed, and wherein the first clamping surface is formed on the first stop element.