The Rachel Corrie, named after a pro-Palestinian activist killed in Gaza in 2003, is part of the flotilla but was delayed reportedly due to technical problems.
The ship approached the international sea near Gaza early Saturday morning. An activist onboard the Rachel Corrie told Al- Jazeera TV earlier that the ship was followed by three Israeli warships.
Activists aboard the Rachel Corrie aid ship released a statement Saturday, saying that they invite for an independent inspection into the cargo on the ship by a third party such as the United Nations.
"In light of concerns by certain quarters i.e. the Israeli authorities, the activists have therefore unanimously agreed to allow for the inspection of the cargo on board," another non- governmental organization Perdana Global Peace quoted the statement as saying.
"They request and invite for an independent international body, preferably inspectors from the United Nations to board the ship and do the necessary to certify as to the nature of the cargo on board," it added.
The statement, which was made when Rachel Corrie was 150 miles away from the 25 mile line of Gaza, noted that there is no " weapons and any apparatus that may be used for harmful purposes" on the ship.
Onboard the Rachel Corrie are a group of Irish and Malaysian peace activists, including Nobel Peace laureate Mairead Corrigan- Maguire. It is loaded with construction materials, paper and other supplies.