Kou Nishito, a graduate student suffering from insomnia, and Yoiko Ichijo, who has been unable to sleep due to loneliness since becoming independent, are discovered to be "compatible" individuals with a highly compatible sleep gene, "Nemunoki." They begin a cohabitation experiment to achieve stable sleep. Though hesitant, they fall asleep in the same bed, and drift into a deep sleep they haven't experienced in years...
The feeling of having someone beside you. The curtain rises on a strange and heartwarming story of two awkward people.
(Source: Kadokawa, translated)
— Description from AniList community (anilist.co).