A method for a User Equipment, in the following also referred to as UE, comprising: performing a Sidelink, in the following also referred to as SL, communication associated with a destination Identity, in the following also referred to as ID, (1002, 1022); having, or being configured with, a SL Discontinuous Reception, in the following also referred to as DRX, configuration associated with the SL communication, wherein the SL DRX configuration comprises parameters for setting 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 (1004, 1028); 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, in the following also referred to as SCI, when the on-duration timer is running, characterized in that: the second offset is set to (the destination ID modulo the number of slots per subframe)/(the number of slots per subframe), or the second offset is derived via a modulus of the destination ID divided by the number of slots per subframe, or the second offset is derived by a first value divided by the number of slots per subframe, wherein the first value is a remainder of the destination ID divided by the number of slots per subframe. performing a Sidelink, in the following also referred to as SL, communication associated with a destination Identity, in the following also referred to as ID, (1002, 1022); having, or being configured with, a SL Discontinuous Reception, in the following also referred to as DRX, configuration associated with the SL communication, wherein the SL DRX configuration comprises parameters for setting 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 (1004, 1028); 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, in the following also referred to as SCI, when the on-duration timer is running, characterized in that: the second offset is set to (the destination ID modulo the number of slots per subframe)/(the number of slots per subframe), or the second offset is derived via a modulus of the destination ID divided by the number of slots per subframe, or the second offset is derived by a first value divided by the number of slots per subframe, wherein the first value is a remainder of the destination ID divided by the number of slots per subframe. the second offset is set to (the destination ID modulo the number of slots per subframe)/(the number of slots per subframe), or the second offset is derived via a modulus of the destination ID divided by the number of slots per subframe, or the second offset is derived by a first value divided by the number of slots per subframe, wherein the first value is a remainder of the destination ID divided by the number of slots per subframe.