Rovers came out on the wrong side of a 3-2 scoreline against fellow strugglers Sheffield Wednesday on Saturday, bringing the prospect of a second consecutive relegation sharply into focus.
"We can't hide from it, we are in the bottom three, we aren't ignoring that, it is reality," Bowyer told Blackburn's official website.
"The players have to look at it and take responsibility and ownership.
"There are six games left this season, there are 18 points to play for, our game in hand is going to be important, the goal difference is going to be important.
"I'm sure that if we play and compete and play like we did on Saturday then we'll be fine."
Monday afternoon reports on the BBC Sport website claimed Bowyer had been summoned to India to for talks with Blackburn's owners, Venky's, along with managing director Derek Shaw and operations director Paul Agnew.
The story claimed the three men, along with global advisor Shebby Singh would undertake meetings with Venky's chairwoman Anuradha Desai.