A method includes providing an inflatable implant formed of a flexible polymer material suitable for residence in the body. The implant includes a slit valve provided in its wall. The slit valve includes an elastomeric valve body with an open internal chamber being in fluid communication with a proximal opening of the valve, a concave section at its distal end, and a normally closed slit in a solid portion of the valve body connecting the concave section and the distal end of the valve body. An inflation tube having an injection tip with a distal end and an insertion stop is provided. The injection tip is inserted into the internal chamber of the slit valve until the insertion stop positively engages the proximal opening. Then, the implant with the inflation tube is delivered to a body cavity. Once delivered, fluid is introduced through the inflation tube and into the implant.
