The 2026 NFL Supplemental Draft is scheduled to be held in July 2026, with the application deadline for Brendan Sorsby on June 22, 2026 (from the Brendan Sorsby page). The wiki notes it as "July 2026" but doesn't specify the exact day — historically, the supplemental draft typically occurs in mid-July, but no precise date has been announced yet in the sources.
Sorsby is applying after Texas Tech announced he won't play for the Red Raiders in 2026 following the reversal of his NCAA gambling suspension injunction. He's viewed as a late 1st to early 2nd round prospect, though a league suspension (likely 4–8 games for betting on Indiana games) would almost certainly follow if he's drafted.