One challenge of wireless networks integration is to provide ubiquitous wireless access abilities and seamless handover for mobile communication devices between different types of technologies 3rd Generation Partnership Project (3GPP) and non-3GPP such as Wireless Fidelity (Wi-Fi), Worldwide interoperability for Microwave Access (WiMAX), Universal Mobile Telecommunications System (UMTS) and Long Term Evolution (LTE). This challenge is critical as Mobile Users (MUs) are becoming increasingly demanding for improved services regardless of the technological complexities associated with them. Finally, the numerical analysis of the improved algorithm shows lower VHO connection failure (probability of session rejection) compared to the traditional Alternative Media Independent Handover for VHO (I AM 4 VHO) algorithms.