This invention generally relates to a process and circuit for reintercalating lithium aluminum double hydroxide (LADH) lithium selective adsorbents. The inventive process includes reintercalating the spent LADH adsorbent with lithium salt in a dilute brine under alkaline conditions at a predetermined intercalation temperature, followed by neutralization using an appropriate acid at a predetermined neutralization temperature. The inventive process can be performed to reintercalate the adsorbent and can be performed multiple times over the life of the adsorbent. The reintercalation process can be conducted at a chemical regeneration facility, or alternatively, in situ, such as at an on-site mineral extraction facility, in a mobile reinteractation circuit, or within adsorbent columns of a lithium extraction (e.g., DLE) circuit. In the later arrangement, the invention can be used in fixed beds, stirred tanks, pseudo- or simulated moving bed (SMB) circuits, or other DLE circuits.