The phrase "almost universal access" is correct and usable in written English.
It can be used to describe a situation where access is widely available but not entirely inclusive for everyone.
Example: "The new internet policy aims to provide almost universal access to online educational resources for students across the country."
Alternatives: "nearly universal access" or "broad access".
There is almost universal access to high-quality, government-subsidized health care.
This was sparked by two technical developments: an almost universal access to affordable real-time global communications, and the practical capability to acquire, process, store, and disseminate virtually unlimited amounts of information.
In the meantime the financing of health care, like that of all public services, has been complicated by decentralisation, and the provision of care appears to be worsening.One of the great assets Indonesian democracy inherited from dictatorship was almost universal access to primary education and very high levels of literacy.
Both Scotland and Malawi enjoy almost universal access to primary care, free at the point of delivery.
General practitioners have almost universal access to Australian adults with diabetes, as GPs provide the bulk of adult diabetes diagnosis and care.
However, in other areas the emergence of new sources of stigma has counteracted this development [ 17], and in high-income countries stigma persists despite almost universal access to treatment [ 18].
Moreover, as Sriram Raghavan put it recently, "Everything should be in the cloud, right?" Indian cell-phone connectivity was already good enough for Aadhaar's planners to imagine almost universal online access to a national registry.
On the other hand, although Internet use tends to be lower among immigrants than among natives, all teenagers in developed countries have almost universal Internet access at school or in public libraries.
Within countries, there is an almost universal disparity of access in rural areas compared to urban areas.
According to the report, globally there is an almost universal disparity of access to safe drinking water in rural areas compared to urban areas.
Doctors are in almost universal agreement that better access to early screening and treatment of illness by primary care providers would significantly reduce the many costs of our health care system.
