The Fiji Labour party is again calling on the vice-president, Ratu Jope Seniloli, to resign.
This follows the Appeal Court decision to turn down his, and four others, application for bail over their conviction for their involvement in the 2000 coup.
Seniloli, and the others, who include the deputy speaker of parliament, will now remain in prison at least until November when their appeal against their sentences is expected to be heard.
A Labour spokesperson, Krishna Datt, says Seniloli should resign or the president should act to remove him.
"Given the present circumstance, it would be highly unlikely that anyone can function as a vice-president serving a sentence in jail. That's not likely to happen so the position has to be filled. And, given the health conditions of the president himself, it would be important for the country to speedily resolve this issue and to make a fresh appointment."
Labour spokesperson, Krishna Datt.