A buttress assembly is configured to temporarily adhere to a wet surgical stapler end effector. The buttress assembly includes a buttress body and a humidity tolerant adhesive. The adhesive includes a bioabsorbable polymer having a block configuration selected from the group consisting of A-B-A and A-B-C. The A block is a bioabsorbable homopolymer that may be characterized by a glass transition temperature of at least about 0°C, a crystallinity as measured by X-ray diffraction of at least about 30%, and a melting temperature of at least about 50°C. The B block is a bioabsorbable homopolymer or co-polymer that may be characterized by a glass transition temperature of at least about -40°C, a crystallinity as measured by X-ray diffraction of at most about 25%, and a molecular weight of from about 20 to about 80kDa. The C block is a bioabsorbable hydrophilic homopolymer or co-polymer that may be miscible with water at 37°C.