The phrase "a month during which" is correct and usable in written English.
You can use it to specify a particular month in which an event or situation occurs.
Example: "February is a month during which many people celebrate Valentine's Day."
Alternatives: "a month in which" or "a month when".
The doc moves much more like an essay or a meditation, even, as it follows a month during which Bohdanowicz lived in Paris with a 77-year-old woman named Juliane Sellam.
But the group burned through a huge amount of money in August — $21 million — a month during which the Romney campaign was hoarding cash, advertising sparingly, and forced to borrow $20 million to get through the convention before it could tap into its general election accounts.
The award capped a month during which Holmes was also voted the BBC sports personality of the year.
AFTER a month during which no one seemed to know what to do about Iraq, suddenly everyone has a plan.
The camp experience lasts about a month, during which the kids are taught a variety of new skills and are encouraged to develop leadership traits.
My visit coincided with a period of about a month during which he had been persuaded by his doctors to rest, go on a diet, and lose weight.
In 1992, after the serial killer and bank robber John "the Laser Man" Ausonius shot 11 immigrants in Stockholm, the Sweden Democrats arranged a march during which participants screamed that he should have shot more foreigners.
The new Atom N550 dual-core netbooks should be showing up in August, so you've got a good month during which to relax, compare specs, and pick a color that matches your new drapes.
Recently, Comercial Mexicana offered a Beatles month during which the classic songs played over the sound system and the stores sold Beatles CD's, movies and T-shirts.
"September is a pivotal month during which the outward-directed energy of summer begins to shift inward... .. -- Joan Borysenko.
The clash in March followed an analogous situation just a month before, during which a similarly outfitted mob of masked protesters shut down Milo Yiannopoulos's appearance at the Berkeley campus.
