Health Minister Greg Hunt is poised to announce long-awaited changes to the government's My Health Record legislation to address privacy concerns, as call centre workers reported a last-minute rush to opt out of the controversial e-health system.

The minister, whose office is due to brief the federal opposition on the matter on Wednesday, has been under pressure to suspend the government's My Health Record rollout after a Senate inquiry recommended its enabling legislation be substantially rewritten to safeguard patient data.

Health Minister Greg Hunt has been under pressure to rewrite the My Health Record legislation. Credit:Chris Hopkins

A spokeswoman for Mr Hunt's office confirmed late on Tuesday that an announcement would be made shortly.

Key stakeholders were confident Mr Hunt would agree to six amendments demanded by Labor, including ensuring that My Health Record "can never be privatised or commercialised" and neither employer doctors nor private health insurers could access records - including de-identified data.