The Seasiders are a point adrift of safety with two fixtures remaining after winning only once in their last 16 matches, but they have drawn their last three, including Saturday's 1-1 result at Tottenham.
Tangerines defender Baptiste believes recent performances have been greatly encouraging and thinks the team can go into Saturday's home clash with Bolton and their trip to Manchester United on the last day of the season full of confidence.
"Who says we can't go to Manchester United and get something there? We don't fear anyone and that was highlighted with our performance against Tottenham, a side who got to the quarter finals of the Champions League," Baptiste told the club`s official website.
"You could see with our work ethic against Tottenham and over the last two weeks how well we've done.
"We just haven't got the breaks we've deserved but we're unbeaten in three games now and have only conceded two goals. We know how big the Bolton game is and it is a must-win. Hopefully we'll do what we need to do."