Example embodiments presented herein are directed towards a network node (401A, 401B) (e.g., a source or target base station), and corresponding method therein, for managing a user equipment time offset measurement by accounting for a user equipment mobility profile. The management may involve a source network node (401A) delaying or preventing the sending of a user equipment timing offset measurement to a target network node (401B) or sending an indication or a reliability of the user equipment timing offset measurement. The network node (401A, 401B) may further apply a compensation to the user equipment timing offset measurement to account for an expected behavior of the user equipment based on the mobility profile. The network node (401A, 401B) may also adapt an uplink search window based on the user equipment mobility profile.