High Court judges were told yesterday that Theresa May was close to making a decision on the case.
The US authorities want Mr McKinnon, from Wood Green, north London, to face trial for hacking into military computers 10 years ago.
The case was described by Hugo Keith, QC, appearing for the Home Secretary, as "vexed and totemic" with implications for Britain's extradition laws.
The judges said the case should return to London's High Court later this month.




