The phrase "almost exhaustive" is correct and usable in written English.
It can be used to describe something that is nearly complete or covers most aspects but may not include every single detail.
Example: "The report is almost exhaustive, covering all major topics but leaving out a few minor details."
Alternatives: "nearly comprehensive" or "mostly complete".
It tells Muslims how to live their lives in almost exhaustive detail.
Your team needs to know the platform almost as well as its creators do — to be able to craft drivers, massage the platform onto a new device, and work out all the kinks requires an almost exhaustive knowledge.
On the other hand, the reconstructed genomes accounted for 96 and 85% of the raw sequencing reads generated from the two cultures, thus confirming that the set of reconstructed genomes represent an almost exhaustive view of the enriched bacterial communities.
With this tool it is possible to perform an almost exhaustive grid-search in the 2-dimensional parameters space of the classification algorithm, using as evaluation criterion the cross-validation score on a given data set.
According to Youssef Choueiri, "he gives a graphic and almost exhaustive description of his hometown... its mosques, residential quarters, orchards, industries, and inhabitants.
Our huge effort in curation gives an almost exhaustive list of lipid-related GO terms.
This is the most exhaustive classification for forests in India that includes almost all climatic, edaphic, and successional vegetations.
The official government and Red Cross reports on prisoner torture and abuse, compiled in two separate volumes, "The Abu Ghraib Investigations," by a former Newsweek editor, Steven Strasser, and "Torture and Terror," by a New York Review of Books contributor, Mark Danner, are almost numbingly exhaustive in their cataloging of specific mistakes, incidents and responsibilities.
His evidence was almost entirely textual, exhaustive, balanced and plausible.
Certainly, 21 is exhaustive, almost to a fault.
The State Department has almost finished an exhaustive, year-long review of diplomacy and development.
