Sceilg Mhichíl (Skellig Michael) is due to reopen on 2 July, after it was closed to visitors following a rockfall earlier this month.
The Office of Public Works has said that specialist teams assessed the site and have removed debris.
The OPW said that the reopening of Sceilg Mhichíl is subject to weather conditions.
Minister of State Patrick O'Donovan said: "Our staff, supported by experts and colleagues in the National Parks and Wildlife Service in the Department of Housing, Local Government and Heritage, are currently on site and are taking all necessary steps to enable a safe return of visitors within the shortest possible turnaround time while strictly adhering to any environmental and other legal obligations imposed at this UNESCO World Heritage Site that is, at the same time, a sanctuary for breeding sea birds."
The island opened on 15 May for visitors, but closed following the rockfall on 13 June.
Sceilg Mhichíl lies 12km off the Kerry coast and is only accessible by boat, with vessels limited to 12 people each and making one trip per day only during the season.
The visitor season on the island normally finishes at the end of September and weather and sea conditions make it generally inaccessible after that.
The site has become a huge international attraction after it was used as a location for the Star Wars movies in recent years.