NHS GPs want a funding boost potentially worth £2.5billion as a “first step” to calling off work-to-rule protests.
The British Medical Association is demanding an extra £40 per patient per year, up from £112.50 to £152.50.
There are 63.5 million patients in England, putting the cost to the Treasury at around £2.5billion.
Thousands of GPs are taking action by refusing to work overtime and limiting appointments.
Health Secretary Wes Streeting last week urged them to stop.
Leader Dr Katie Bramall-Stainer said: “An extra £40 a year for each patient would help stabilise our profession and prevent the loss of any more GP surgeries.
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“Doing this would be a significant first step towards us being able to call off collective action.”
Doctors would not pocket all the cash so it is not equal to a pay rise, but they can keep any surplus after running costs.
The Government has already pledged billions of pounds to BMA members in strike-busting pay deals with consultants and junior and specialist doctors.
Mr Streeting has vowed to increase the NHS’ focus on GP practices under plans for a “neighbourhood health service” to reduce reliance on hospitals.
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In July, Streeting ordered a “warts and all” probe of the NHS to tell the “hard truths” of what needs fixing.
Writing in The Sun, Mr Streeting said: “Honesty is the best policy, and this report will provide patients, staff and myself with a full and frank assessment of the state of the NHS, warts and all.
“It’s going to take time to turn the NHS around - we were honest about that before the election.
"Sticking plasters won’t be enough to heal it. It will require fundamental reform.”