Interim leader Frank Bainimarama had promised to make the new draft available for consultation by the end of January, to replace the one prepared last month by the Constitution Commission.
There's also been no word on the appointment of the Constituent Assembly, whose job it would be to debate and approve the new constitution.
Charge d'affaires for the EU delegation in the Pacific, Johnny Engell-Hansen, has told Radio Australia's Pacific Beat program the EU is weighing its options regarding financial support to Fiji for election-related purposes.
"I'm not sure that I'd say we've lost faith, but we are a little bit confused by what's actually going on right now," he said.
"We see various developments and we hear various statements, and what we would really like to be reassured of is that the process is on track, and that there is an irreversible process that will lead to those free and fair elections by 2014."
The warning comes as Australia's foreign minister, Bob Carr, says the role of Fiji's army should be in the barracks and not the parliament.
Fiji's military has already committed to playing a key role in beyond the 2014 elections.
Senator Carr has told Australia Network's Newsline Fiji should take the advice of the leadership of Indonesia.
"President (Susilo Bambang) Yudhoyono has made it clear when he spoken to the military political leadership in Myanmar (Burma) that the role of the army is in the barracks," he said.
"That's been the Indonesian experience and the Indonesians deserve great credit for making that point when they engage in other parts of the world.
"The role of the military is in the barracks."
Mr Carr says the Pacific Island community has some concerns over what has been discussed in the draft constitution, but its main concern is fair elections in 2014.
"That's a reasonable expectation on behalf of the region," he said.
"An election conducted under laws and procedures and regulations that are so fair even those who lose the ballot will still recognise that the rules were fair."
The ABC has sought a response from the Fijian interim government.