Rumours abound that the Department for Culture, Media and Sport (DCMS) has asked EH bosses to carry out a review of the organisation's spending.
What has been confirmed is that senior staff are in talks with the DCMS over the CSR, which is expected in the first half of next year. In a statement, the quango said these talks are 'at an early stage'.
But a source close to EH said employees are increasingly worried about the outcome of the discussions.
'The fact is that EH is very concerned about the Treasury's forthcoming Comprehensive Spending Review,' the source said. 'They've had a hard time recently and they have to face the fact that they don't have as much cash as they'd want.
'It can hardly be surprising that people in EH are pissed off with the way this is all being handled'.
EH can be seen to have good reason to be cynical about the government's attitude to its funding - it has consistently increased its budget below the rate of inflation over the past few years.
And in the last three years this has resulted in radical restructuring and a round of redundancies at the quango.