"minimal need" is a correct and usable phrase in written English.
You could use it to describe a situation in which only a small amount of something is necessary. For example, "We found that there is only a minimal need for additional staff."
Instrumented spinal fusion allows early ambulation with minimal need for a postoperative external immobilizer.
And because the streets are privately policed and maintained, there is minimal need for police, fire and snowplowing services.
For more than a century, the campus and its 111 buildings functioned with minimal need for the outside world, and many patients spent nearly their entire lives there.
New housing has been planned with shared open spaces, with schools and shops in walking distance, and with minimal need for cars.
The blades of a horizontal axis tidal turbine are required to operate in a harsh subsea environment over a long life cycle with minimal need for maintenance.
The "Holy Grail" of metal additive manufacturing is to manufacture reliable high-performance metal parts with no or a minimal need of post processing.
For the French government now believes that "to hide the face breaches minimal needs of social life".
Food is a sensitive topic in a nation that depends on huge amounts of foreign food aid to meet the minimal needs of its 22 million people.
If you've got very minimal needs you may be able to get the odd bit of help free and gratis.
Many older adults and patients do not achieve sufficient nutritional intake to support their minimal needs and are at risk of, or are suffering from, (protein-energy) malnutrition.
Similar to the NMA allocator, the RA will thereby favor individuals with low minimal needs.
