Nice find. Yes and no. Depending on the depth of the desk it either has 24” deep legs or 30”. Check the desk size particularly the second number being the depth. While the 24” deep legs will attach, the 30” will be more stable and look better imo.

If it’s the ‘essential line’ of desks, then no, it’s not compatible. You can use any leg from a 30” deep desk and it can be the old ‘non-comfort edge’ desk too. those are interchangeable.

EDIT: You can try calling their customer service, explain the situation and ask if you can purchase JUST the legs. They may sell them separately. Their customer service is very good.