Internet of Vehicular Things (IoVT) intended to connect vehicles in urban and rural areas to provide communication among the vehicles. With the rapid development of eHealth, the autonomous and intelligent vehicles play a vital role. Now a days, millions of vehicles equipped with smart sensors, devices, and communication facilities for providing quality of service at emergency. Due to network openness, unfortunately, IoVT is subject to a large number of potential issues related to security and privacy. This paper proposes an efficient privacy-preserving secure vehicle-to-vehicle (V2V) communication. Firstly, we propose a privacy-protected identity-based mutual authentication. Further, to enhance the security levels, the session key is derived from timestamps, a common key shared by the vehicles, privacy-protected identity and random nonce decided by both the vehicles. The security analysis shows our scheme withstands several potential attacks, including unknown key share attacks, replay attacks, and key-compromised impersonation attacks. The empirical results show the efficiency of the proposed scheme is computationally taking less time.