There were less than 60 seconds on the clock following the restart when Gylfi Sigurdsson swung in a flat cross from a free-kick on the right. Richarlison got in front of his man 12 yards out and glanced his header beyond the diving Henderson.
A seventh-placed finish in the Premier League will be enough for Sheffield to claim a Europa League spot should Chelsea win the FA Cup on August 1st, but their hopes will be extinguished if Wolves win against Crystal Palace later tonight.
Meanwhile, Brighton banished any lingering Premier League relegation fears by grinding out a goalless draw at home to Newcastle to guarantee safety.
Albion controlled possession against the Magpies but neither side seriously threatened to break the deadlock during a dour encounter which had a distinctly end-of-season feel.
The Seagulls have been well placed to extend their top-flight adventure to a fourth campaign for a number of weeks, although manager Graham Potter had steadfastly refused to celebrate survival until it was mathematically certain.
