The phrase "almost assume" is correct and usable in written English.
It can be used when you want to express a tentative belief or conclusion that is not fully certain.
Example: "While I don't have all the facts, I can almost assume that the project will be completed on time."
Alternatives: "nearly believe" or "tend to assume".
If we get a penalty within the opposition half, you almost assume it's going to be three points.
"We have to almost assume that boys see it as the norm [to see girls as sexual objects] to tackle it head on," she says.
Indian-born venture capitalist Vinod Khosla a partner at Kleiner Perkins Caufield & Byers, remarks that in Silicon Valley it's almost a case of reverse discrimination: "People almost assume that if you're Indian or Chinese you're smarter, and you get the benefit of the doubt".
His last note was lovely and then wavered as he faded out, but again, he looked so natural you could almost assume he meant it.
"It almost assumes no one is going to get sick," said Dr. Mark V. Williams, a professor of medicine at Emory University.
"At least a sizable chunk of the Menatep stake may go back to the state -- that's almost assumed at this point," Mr. Collison added.
For years, it has been almost assumed that Piazza was staying behind the plate solely to break Carlton Fisk's record for home runs as a catcher.
While never relinquishing its jaunty tone of comic likeability, The Dish almost assumes the air of an old-fashioned war movie: three Australian soldiers and their US commanding officer hold some pass or withstand some siege just long enough for reinforcements.
We walked out almost assuming that we were disqualified!
Modern American history almost assumes an upward incline.
The game itself almost assumed the status of a sideshow as the shadow of Gerrard's farewell understandably loomed over the entire occasion.
