Device-to-device (D2D) communication is a proximity-based data transmission technique where users communicate directly with each other, when bypassing evolved node base station. The most common assumption in the literature is that every D2D user connects to its nearest node. However, in many situations connection to the first nearest node for a D2D user is not possible due to the channel conditions or user's decline in joining in a D2D connection. The impact of connecting to the nth nearest node in a dedicated D2D enabled network is investigated. The coverage probability and average data rate of a typical D2D link in the network, where users connect to their nth nearest node are studied. The results show that considering the first nearest node is an ideal assumption and investigating the connection to the other farther nodes is of great importance.