It will be the Brewers' first ever visit to St. James' Park and tickets are still available here.
Stroud has taken charge of two Newcastle matches so far this season - the 2-0 win against Brighton in August and December's victory over Nottingham Forest.
In 38 matches in all competitions this term, he's shown 170 yellow cards and 12 red.
On Wednesday night, he will be assisted by David Avent and Matthew McGrath. Tony Harrington will be the fourth official.