The invention relates to a mechanical seal assembly comprising a mechanical seal (2) comprising a rotating mechanical seal (20) and a stationary mechanical seal (21) defining a sealing gap (22) therebetween, and a one-piece safety seal (3) provided as a redundant seal in the event of failure of the mechanical seal (2) and adapted to seal at a rotating component, the safety seal (3) comprising a base body (30) and a sealing area (31) projecting from the base body (30) in the axial direction (X-X) and being flexible, a thickness of the sealing area (31) in the radial direction being smaller than a thickness of the base body (30) in the radial direction, and the safety seal (3) being arranged in a stationary manner and comprising a sealing surface (32) on an inner circumference.