Arienai Futari
Summary from Fantasyshrine:
Kitahara, a website designer and Suzuki, a handbag craftsman, two people with opposite polar personalities, are brought together because of a one-of-a-kind handbag. Due to Kitahara's persistence of owning this particular handbag, the two ended up working together. Though they gradually become aware of the other person, they stubbornly ignore the pull that exists between them. Will they come to terms with their feelings!? It’s a story of two adults both too bashful to express their love for each other.