Mobility and Internet access have become an integral part of today's life. The recent advances in computer hardware have also aided in increasing the dependence on Internet connectivity. Protocols like mobile IP were proposed in an effort maintain mobile Internet connections. Even though the primary goal of traditional mobile IP is the support of single host mobility, its extension to support network mobility is an active area of development. Mobile IP needs some additional mobility agents and tunneling to support network mobility. This work explores the possibility of using the mobile IP protocol suite for supporting nested mobility. Issues related to quality of service (QoS), security and scalability within the framework of nested mobility are discussed in this paper. Simulations carried out in Student Routers Lab at Wichita State University reveal deterioration of QoS with nested mobility.