A reperfusion system and method of perfusing a blood vessel using the reperfusion system are provided. A sheath has a sheath wall and a lumen that each extend to a distal end to define a distal opening. A distal portion of the sheath wall has at least one wall opening. A balloon catheter has a lumen that extends to the distal end to define a distal opening. The balloon catheter has an inflatable balloon attached to a distal portion. A conduit has a first end in fluid communication with the lumen of the sheath and a second end in fluid communication with the lumen of the balloon catheter. The reperfusion system is configured to allow blood to enter each of the distal opening and the at least one wall opening of the sheath, flow through the sheath, the conduit, and the balloon catheter, and exit through the distal opening of the balloon catheter. The sheath is introduced into body tissue. The balloon catheter is advanced through the sheath to the blood vessel. The balloon is inflated. Blood is allowed to enter each of the distal opening and the at least one wall opening of the sheath, flow through the sheath, the conduit, and the balloon catheter, and exit through the distal opening of the balloon catheter.