Abstract: Methods, systems, and apparatuses for Sidelink Discontinuous Reception (SL DRX) in a wireless communication system to avoid ambiguity on slot offset calculations on SL DRX. A method for a UE comprises performing a SL communication associated with a destination Identity (ID), having a SL DRX configuration associated with the SL communication, wherein the SL DRX configuration comprises at least an on-duration timer and a DRX cycle, deriving a first offset associated with the SL communication based on the destination ID and the DRX cycle, deriving a second offset associated with the SL communication based on the destination ID and a number of slots per subframe, starting the on-duration timer after a time period determined based on the second offset from the beginning of a subframe, wherein the subframe is determined based on at least the first offset, and monitoring Sidelink Control Information (SCI) when the on-duration timer is running.