Jose Mourinho's men face elimination from the competition if they are beaten by the Dutch side at Old Trafford, having already lost once to van Bronckhorst's team 1-0 in the Netherlands earlier in the campaign.
United currently sit third in group A, but are only one point off top spot and will enter a qualification place with a victory on matchday five.
Former Arsenal full back van Bronckhorst sees the home result against the Red Devils as a real confidence-booster, but admits that United have extra motivation on this occasion.
"In De Kuip we have seen that it is possible to get a good result against Manchester United," he told Sky Sports.
"Now their approach will be different to then, because United must now win. That makes this a very different game than in Rotterdam."
The Dutchman is faced with a number of absences for the tie. Karim El Ahmadi, Terence Kongolo and Eric Botteghin are all unavailable due to injury or suspension, but van Bronckhorst has called upon his players to use the experience of playing at Old Trafford as a motivator.
"In particular, at centre-back we miss many players, three of the five guys who can play there are not available.
"I've played a few times at Old Trafford and know that the atmosphere here is fantastic.
"These are special matches. It's only the third time that Feyenoord and United play each other in the last 20 years. For my players this game is a way to compete with the very top players."