The present disclosure provides a method and apparatus for performing an operation related to a Radio Link Failure (RLF) in a wireless communication system. Particularly, the method performed by a user equipment (UE) includes monitoring a radio link state of a serving base station (BS); detecting a physical layer problem; transmitting a specific random access preamble related to the RLF to one or more neighboring BSs through a specific Physical Random Access Channel (PRACH) resource; receiving a random access response from the one or more neighboring BSs; determining a neighboring BS to which an additional RRC connection is to be configured based on the received random access response; and configuring an RRC connection with the determined neighboring BS, wherein the specific PRACH resource is a common PRACH resource that is separately configured to transmit the specific random access preamble, thereby preventing the Link Outage phenomenon of the UE for a specific service.