Sark's new wholly democratic government sits on 9 January
Sark needs a "cooling off period" before entering into talks with the Barclay brothers, authorities say.
Dialogue has been made "impossible" by the closure of the Barclays' investment programme, said Sark's General Purposes and Advisory Committee (GPAC).
The Barclays move came after the majority of candidates they had backed for Sark's new 28-member Chief Pleas failed to win election.
Thirty eight residents lost their jobs due to the investment withdrawl.
The tycoon twins have numerous business interests in Sark
The millionaire Barclay twins' announced they were withdrawing their business interests in Sark on 11 December, a day after the island's first election to choose a democratic government for nearly 450 years.
As a result, a number of shops, hotels and other firms were closed.
Roger Olsen, chairman of the GPAC said: "Any dialogue which might have developed was made impossible, in the committee's view, by Thursday's announcement to close the Barclay sponsored investment program on Sark and to make their employees on Sark redundant with immediate effect."
Sark's new, wholly elected Chief Pleas, the island's government, is to be installed on 9 January 2009.
Mr Olsen said: "It may be to everyone's benefit to rest, review and await the wisdom of the new Assembly in January.
"A procedural cooling off period just might be to everyone's advantage."