だっこしてぎゅっ！～オレの嫁は抱き枕～

Yuya loves hug pillows (dakimakura). He lives a happy life with his room full of hug pillows. 

One day, a girl in white coat suddenly talks to him, "Yuya, do me a favor." Her name is Tobari, a boss of the Pillow Research Club. She holds a hug pillow with a pretty girl painted on it. Yuya soon gets excited and asks her if he can get it. She says, "If you accept my offer, I'll give it to you." 

As a matter of fact, this is not just a normal hug pillow. If you sleep with it, you will be able to meet her in your dream. Tobari's offer is to fall in love with Akari, who was recently born in the dream world, and raise her. Yuya accepts the offer though he doesn't believe it. He sleeps with the hug pillow at night and the dream world actually exists there...