Defeat at Derby on Easter Monday leaves Danny Wilson's men needing victory at the Riverside followed by another over Harry Redknapp's QPR at Oakwell a week later to stand a chance of avoiding the drop.
The Reds will take heart from a 3-2 win over Boro last October when top scorer Chris O'Grady bagged a double as the Tykes stormed into a 3-0 interval lead.
O'Grady is 12/1 to repeat the feat on Wearside and 13/2 to bag what could be a crucial first goal.
Paddy McCourt was also on the scoresheet that day and Sky Bet offer 11/2 that he scores in a Barnsley win.
The outright markets see Boro at 21/20 for the win with the draw at 13/5 and Barnsley available at 12/5.
The Tykes are considered 9/1 shots to be still in the Championship next season.
Odds subject to change
