The phrase "almost ceaseless" is correct and usable in written English.
It can be used to describe something that is nearly continuous or without interruption, but not entirely so.
Example: "The rain fell almost ceaselessly throughout the night, leaving the streets flooded by morning."
Alternatives: "nearly constant" or "virtually unending".
Television provides almost ceaseless propaganda in the evenings, some of it in English.
There is now an almost ceaseless murmuring about the future of narrative prose.
Their existence in Peristan is one of almost ceaseless sexual intercourse in surroundings of total luxury.
The events of 2005 inevitably provoked an almost ceaseless flow of articles, books and debates in France.
His reign was marked by almost ceaseless strife with the estates, with his neighbours, and with his jealous family.
But, behind the almost ceaseless flow of law enforcement rhetoric, they have also looked outside the system.
New motherhood is mostly about ceaseless vigilance).
I also respect catcher Brian McCann, a former Yankee reliable, and almost forgive his ceaseless high-school-corridor whisperings with his pitchers.
The Presidency in Reagan's hands seems almost boring: a ceaseless round of plane flights, official dinners, greetings proffered to groups of visitors, adjudication of squabbles among aides, and flattering phone calls to wavering members of Congress.
AFTER almost a year of ceaseless and stupefying scandal, investors know that if trust is to be restored in the financial system, radical change must come from executives, Wall Street and the accounting industry.
Fears that Spain had become irreparably divided following two inconclusive general elections and almost 10 months of ceaseless political bickering were allayed on Tuesday morning after Jamie Oliver united the nation by tweeting his own twist on paella.
