The invention is directed to a method and a surgical instrument, typically a surgical stapler that is configured for performing anastomosis of a first gastro-intestinal tract section to a second gastro-intestinal tract section, both gastro-intestinal tract sections comprising a superficial layer and an intermediate layer. Said method comprises contacting the superficial layers of said gastro-intestinal tract sections and compressing the contacted sections between a first pressure area and a second pressure area, wherein the sum of the first pressure area and the second pressure increases during the compression such that the superficial layers are pressed aside and the intermediate layers are contacted.
