The present disclosure relates to a tissue cutting system for cutting tissue of a heart, such as tissue of a septum of a heart, comprising: an outer tubular member having a proximal portion and a distal portion, said distal portion comprising a tissue resection window; a resection element axially slidably arranged inside the outer tubular member configured to resect tissue extending through the tissue resection window; at least one pressure sensor; wherein the outer tubular member and resection element are arranged to establish: a first fluid flow channel suitable for transporting resected tissue away from an area adjacent to the resection element; at least one second fluid flow channel configured to assist the first fluid flow channel in transporting resected tissue. The present disclosure further relates to a method for resecting tissue using the disclosed tissue cutting system.