Abramovich was among several wealthy Russians added last month to British and European Union sanctions over Russia's invasion of Ukraine, and governments have since been taking action to seize yachts and other luxury assets from them.
In a statement, the Law Officers' Department for the self-governing British Crown Dependency said Jersey Police had on Tuesday carried out searches of premises suspected of being connected to Abramovich's business activities.
"The Royal Court also imposed a formal freezing order on 12 April, known as a saisie judiciaire, over assets understood to be valued in excess of US$7 billion which are suspected to be connected to Mr Abramovich and which are either located in Jersey or owned by Jersey incorporated entities," it said.
The Department said it would make no further comment at this stage. No one from Jersey Police could be reached for comment.
Earlier this month, the Caribbean nation Antigua and Barbuda said it was willing to help Britain seize yachts owned by Abramovich. Superyachts linked to the businessman, together worth an estimated $1.2 billion, have also been docked in southwest Turkey.
Abramovich had sought to sell Premier League soccer club Chelsea before he was sanctioned, but that process was taken out of his hands by the British government after his finances were blacklisted.
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Of course I agree all these assets should be seized, yet no one seems to realise that OUR tax euros are paying for the maintenance and staff of seized super yachts. And as usual: politicians shout something so they look cool and in control, but we foot the bill.