Methods and apparatus to manage voice service in evolved packet systems are disclosed. An example method in a UE in an Evolved Packet System (EPS) includes receiving a first Non Access Stratum (NAS) protocol response message with network provided Voice over IP Multimedia (IM) Core Network (CN) Subsystem (VoIMS) indicators, wherein the UE has a voice services indicator related to a UE usage setting and responsive to at least one of the voice services indicator related to a UE usage setting or the network provided VoIMS indicators, causing the UE to disable evolved universal mobile telecommunications system terrestrial radio access (E-UTRAN) cell reselection.