An arrangement in connection with a low pressure suction apparatus (2, 8, 9) for mobilizing skin tissue comprises a low pressure chamber (6), a suction equipment (5), comprising for example a pump or a fan, for producing low pressure in the low pressure chamber (6), and a suction head (2) in connection with the suction apparatus (2, 8, 9), the suction head (2) comprising a suction cup (3), one end of which is arranged to be in functional connection with the low pressure chamber (6) and the other is arranged to be pressed against skin tissue, said other end of the suction cup forming a suction opening (7) having a suction opening surface, and the direction parallel to the surface normal (D) of the suction opening surface forming an angle (α) deviating from zero degrees relative to the direction parallel to the surface normal (C) of said one end of the suction cup. An extension handle (60) for a suction apparatus is disclosed.