The phrase "a process that virtually" is correct and usable in written English.
It can be used when describing a process that almost or nearly achieves a certain outcome or effect, often implying that it does so in a way that is not entirely complete or perfect.
Example: "The new software implements a process that virtually eliminates the need for manual data entry, streamlining our workflow significantly."
Alternatives: "a process that nearly" or "a process that almost".
The region was gradually Islamized beginning in the 11th 12th century, a process that was virtually complete by the 15th century.
Because she couldn't demand a recount, Sauerbrey geared up for a lawsuit, a process that dragged on virtually to the eve of Glendening's inauguration more than two months after the election.
As evident from the above discussion, conducting PAR with youth in schools is a process that could potentially target virtually all of the setting-level features that have been linked with healthier development.
On the other hand, structural health monitoring of dental implants, a process that is increasingly developed for, for example, aeronautical structures, is virtually unknown in the dental community.
Much of a vehicle's testing is now done virtually, a processes that helps streamline development while keeping cost down.
Normally, DNS is a superfast process that takes virtually no time at all, and once the "lookup" is done the client computer connects directly to the destination server, leaving the DNS server free to deal with another request.
President Morsi had already declared a monthlong state of emergency here and in the other canal towns of Suez and Ismailia, applying a law that virtually eliminates due process protections against abuse by the police.
The metabolism of mRNA is a fundamental process that underlies virtually all cellular activities, and perturbation of mRNA processing can have important effects on gene regulation, homeostasis and cell cycle control.
Graduate schools of management churn out M.B.A.'s, while instilling the basic processes and systems that virtually all multinational companies rely on.
Being able to construct a story from diverse audiovisual elements is a process virtually identical to that which I used when writing papers at Princeton.
