A pipe (18) having an inner fluid confinement assembly (30) including a corrugated inner tube (40) having an axis (A-A′), a tensile armor (42) arranged around the inner tube (40) and a heat-insulating assembly (44) arranged around the tensile armor (42). The pipe includes a ballast assembly (32) mounted around the inner assembly (30). The ballast assembly (32) includes a plurality of collars (70A) mounted externally on the inner assembly (30) to form a support layer (70), at least one outer armor (72) and at least one ballast ring (74A) engaged around the outer armor (72).