The call was made by the opposition People’s National Party (PNP).
Prime Minister Bruce Golding said in December 2010 that he was considering having a Jamaican appellate court to be the final court instead of the Privy Council or the CCJ.
He also stated that he wished to consider the matter in depth.
The PNP wants the prime minister to publicly express his stand before the vote is taken on the Charter of Rights this week.
So far only Guyana, Barbados and Belize have accepted the CCJ as the final appellate court in the region.
(Parts of this article were written with submissions from a Caribbeannewsnow release)