Long Term Evolution (LTE) was initially designed for a high data rates network. However, voice service is always a main service that brings a big benefit for mobile operators. Hence the deployment of Voice over LTE (VoLTE) is very essential and urgent. LTE network is a fully All-IP network, thus, the deployment of VoLTE is very complex, specially for guaranteeing of Quality of Service (QoS) to meet quality of experience of mobile users. The key purpose of this paper is to present an object, non-intrusive prediction model for VoLTE quality based on LTE-Sim framework and Wideband (WB) E-model. In order to simulate the experiment, we deployed LTE-Sim framework combining C programming in Matlab software. The outputs of the LTE-Sim will be the inputs of the WB E-model. The output of the WB E-model is user satisfaction via Mean Opinion Score (MOS). In addition, due to voice over LTE network (VoLTE) uses Adaptive Multi-Rate Wideband (AMR-WB) for vocoder while LTE-Sim supports only G.729 codec for narrow band, thus, we propose to add AMR-WB codec into LTE-Sim software. The simulation results show that the proposed model can predict voice quality in LTE network via the WB E-model. The proposed model does not refer to the original signal, thus, it is very suitable for predicting voice quality in LTE network for many different scenarios which are configured in the LTE-Sim framework. The proposed model is very suitable for predicting VoLTE quality for transmission planning, and for researchers in Laboratory.