Next-generation teleimmersive environments allow full-fledged collaboration of people in different geographical locations. The unique user experience poses new inter-sender synchronization requirement, which has not been investigated in past studies. The real-time nature of teleimmersive applications also introduce a tradeoff between synchronization quality and interactive quality during online synchronization adaptation. In this paper, we conduct subjective user study and demonstrate that inter-sender synchronization is important to human perception in teleimmersive activities. We also show that people exhibit contradicting opinions at the presence of synchronization and interaction tradeoff. Based on real subjective feedback, we propose a novel human-centric multi-layer synchronization scheme with inter-sender synchronization skew control for multi-site teleimmersion.