Nope the 11th episode has a 11-5(a full blown episode)
"11.5 (OVA) "What I Should Have Is"
"Motsu beki Mono wa" (持つべきものは) July 8, 2012
It is a "pleasant" and hot summer morning for Hōtarō, as he wakes up and goes downstairs to start his day. But he notices that someone is using the shower and wonders who it is as he heads to the kitchen. But he knows the answer when he finds an open red suitcase in the living room. The one using the shower is his older sister, Tomoe Oreki, who has just returned from her global vacation. He calls out towards the shower, confirming if the one in it was his sister. She replies with a "I'm home" and jokingly says that he can jump into her arms. He rejects the offer, which disappoints Tomoe. Tomoe, then, offers him a job where she promises that he can do nothing over at her university's pool as a life guard as opposed to staying at home doing nothing. Oreki willingly accepts. "
From Wikipedia