The phrase "unspecified amount" refers to an unclear or unknown quantity. It means that the specific number or quantity is not mentioned or determined. Full definition
The Lord Chief Justice, for the judiciary, also railed against the increases, particularly in relation to claims for unspecified amounts of money. (newlawjournal.co.uk)
Finally, relying on large unspecified amounts of economic growth to fill the budget's hole is irresponsible. (crfb.org)