Rovers have struggled for form away from Ewood Park this season, but Bowyer does not see that as a reason why they should sit back against the higher-placed sides.
"The Championship this season shows that anybody can beat anybody, both home and away, and that's the mindset that we'll be going with - to get on the front foot against Watford, go and put them under pressure and create the chances for the likes of Jordan Rhodes to continue his scoring run," Bowyer told reporters.
"We're not going to go down to Watford to make the numbers up, we're going to win. We've got to pick points up and that's the mindset from now until the end of the season. If it's away we can't do anything about the fixture list.
"Winning games breeds confidence. We've got back-to-back wins and we've just got to keep our feet on the ground, recover quickly and go and take the challenge on."
Blackburn are currently three points clear of the bottom three in the Championship.