Instant adhesion to wet biological surfaces and reduced swelling of tissue adhesives are crucial for rapid wound closure and hemostasis. However, previous strategies to reduce swelling always accompanied by a decrease in the tissue bonding strength of the adhesive. Moreover, the irreducibility of the covalent bonds in currently reported adhesives resulting in the adhesives losing their tissue adhesive ability. To tackle the challenge, a superior anti-swelling coacervate adhesive possessing fast self-healing property through physical interactions (electrostatic interactions, hydrogen bond) and chemical crosslinking (Schiff base reaction) is obtained with aldehyde-modified γ-PGA (γ-PGA-CHO), natural lysozyme (LZM) and amyloid fiber reduced lysozyme (RLZM). The instant shear adhesion strength and burst pressure tolerance of the adhesive on wet pig intestine reached 50.8 kPa (2.6 times that of CA glue) and 142.5 mmHg (5.9 times that of CA glue), which retains 37.4 kPa after exposure to physical environment for 12 h and only 34.0% swelling rate underwater. The in vitro and in vivo experiments provide the coacervate adhesive with potential applicability for emergency rescue and wound care scenarios.