If they converted their profile to a LinkedIn Page (unlikely but possible), you cannot block a Page—only unfollow it.
If you were allowed to re-block immediately, the database would enter a —where the system is still cleaning up the first unblock while processing a second block. This leads to ghost profiles, half-deleted comments, and the dreaded "Something went wrong" error. The 48-hour cooldown gives LinkedIn’s distributed servers time to fully reconcile your relationship graph. If they converted their profile to a LinkedIn
The primary reason you cannot immediately re-block someone on LinkedIn after unblocking them is that LinkedIn enforces a before the block feature can be used on that same member again. Why This Restriction Exists If they converted their profile to a LinkedIn