The phrase "almost accustomed" is correct and usable in written English.
It can be used when describing a gradual process of becoming familiar or comfortable with something.
Example: "After several weeks of training, I am almost accustomed to the new software."
Alternatives: "nearly used to" or "close to being familiar with".
"We've almost grown accustomed to a situation that is almost unprecedented -- where every nomination is contested, everything is blocked regardless of how qualified the person is, even when there's no ideological objection to them, certainly where there's no disqualifying actions by the nominee that have surfaced," Obama said.
Yet, in the last few years, Iraq has so marginalized itself as an exporter that the world oil market has almost grown accustomed to its unreliability.
It was a superb coup, but not exactly an alienation effect, because it was a technique to which I became weirdly and almost instantly accustomed both when I first saw it and again in 2008.
For their first joint cookbook they attempt to show Western palates accustomed almost exclusively to Cantonese food that it is just a small part of the vast story that is Chinese cuisine.
Louise Whitfield said, almost as if accustomed to a certain legal detachment and taken by surprise: "We are very, very worried about our claimants and what will happen to them if they lose their care.
As a loud, stubborn, happily non-cool girl, I've grown accustomed to almost never seeing myself represented in media (except as a hairy, bra-burning punchline).
Keyboards and mice are widely used as the de facto standard for operating personal computers, and almost all people are accustomed to using them [1].
Before we start thinking that the DGA has made great strides in our understandable eagerness to get back to business, just remember that everything -- including the prime-time network rerun money to which we have become accustomed for almost thirty years will be subject to the paltry Internet rates negotiated by the DGA.
There's something ultimately a bit totalitarian about it, a technology that's designed to manipulate the viewer much more profoundly than the usual emotional manipulation we're accustomed to something almost propagandistic.
