The young Magpies were due to face their Baggies counterparts at Whitley Park on Monday, 6th March, with kick-off due to take place at 7pm (GMT).
However, the Division Two clash will now be played at United's Little Benton Academy on the same date, with kick-off now set at 3pm (GMT).
Newcastle's second-string currently sit in eighth place of the Premier League 2 Division Two, eight points adrift of the play-off spots with five league matches remaining.
The two sides last met in August as United's youngsters suffered a 2-1 defeat, with Reyes Cleary's late brace cancelling out Michael Ndiweni's opener.