This document describes techniques and devices for handling an attempt to resume a wireless connection using a base station that supports a different core-network type. While in a current resource control state, such as an inactive state 332, a user equipment (UE) 111 or 112 selects a base station 124 with a different core-network type than a previously selected base station 122 or 121. In some cases, this selected base station 124 does not support the current resource control state or does not enable the UE 111 or 112 to transition to a different resource control state, such as a connected state 330. Consequently, if the UE 111 or 112 attempts to perform a procedure that would result in the UE 111 or 112 transitioning to the unsupported resource control state, the procedure may fail and consequently waste network resources or delay communications with the UE 111 or 112.