A connection control apparatus includes a monitoring unit, a determining unit, a transferring unit, and a notifying unit. The monitoring unit monitors a status of a communication terminal. The determining unit determines, on a basis of a monitoring result, whether or not the communication terminal is able to respond to a connection request therefor. The transferring unit transfers the connection request to the communication terminal when the transferring unit has received a connection request for the communication terminal and the determining unit determines that the communication terminal is able to respond to the connection request. The notifying unit calls attention around the connection control apparatus when the determining unit determines that the communication terminal is unable to respond to the connection request after the transferring unit has received the connection request.