Rovers claimed their first win since February as first half goals from Jordan Rhodes and Scott Dann saw them defeat the Rams 2-0 at Ewood Park.
Bowyer was delighted with the backing the players got and now desires the same again on Tuesday night against Huddersfield Town.
"I can't thank the fans enough," said the Rovers boss.
"The players, the staff and the fans, we all have to stick together and keep positive, this is a great football club with great traditions and culture.
"We've got to make sure that we stay in this championship and the fans played their part massively and they'll have to do that again on Tuesday against Huddersfield."
Tickets for Tuesday's match against Huddersfield are on open sale up unti the 7.45pm kick-off, priced from £19 for Adults, £12 Seniors and £7 for Juniors Under 16.
Book online today at www.onerovers.co.uk
and collect your tickets from the Blackburn End collection point on the day of the game.