Councillors are taking more time to decide what action to take over controversial changes to hospitals in Wakefield, Dewsbury and Pontefract.
Members of a health watchdog could refer the plans by Mid Yorkshire Hospitals NHS Trust to health secretary Jeremy Hunt.
But the Wakefield and Kirklees Joint Health Scrutiny Committee decided to delay that decision after receiving more information.
The shake-up would see accident and emergency centralised at Pinderfields Hospital in Wakefield, along with intensive and high dependency care.
Dewsbury District Hospital would house only a midwifery-led maternity unit, so it would not deal with complex births, and its A&E department would be downgraded.
Health managers say the plans – given the go-ahead in July – would bring £10m in recurrent savings if they can reduce the number of beds by 200, and leaving services as they are is not an option.
However, the committee was critical, saying the results of a consultation were “inconclusive” – a claim which was denied by NHS heads.
They also said financial implications were “unresolved”, saying there would £4.6m shortfall in the hospital trust’s budget.
Managers said that was not the case and they had developed a plan which would achieve a surplus of that amount by 2017.
Among other concerns, the scrutiny committee also highlighted their issues around the A&E changes.
After receiving an additional report from the NHS, committee chairman Coun Betty Rhodes said: “In the interest of openness and transparency and in light of the late information received last week, we feel it is only fair to adjourn the meeting until October 9. This will give the committee time to fully consider all available information.”