Methods and apparatuses for uplink (UL) channel sounding between bandwidth parts (BWPs). A method for operating a user equipment (UE) includes receiving first information for a set of UL BWPs of a serving cell, wherein the set of UL BWPs includes more than one UL BWP and receiving second information, for each UL BWP from the set of UL BWPs, for sounding reference signal (SRS) resource sets. The method further includes determining, for each UL BWP from the set of UL BWPs, corresponding first SRS resources from the SRS resource sets and transmitting a SRS, in each UL BWP from the set of UL BWPs, using the corresponding first SRS resources.