Three successive wins – away at Ipswich Town and back-to-back home victories over Reading and Wigan Athletic – have seen Nigel Adkins’ side move up to ninth in the Sky Bet Championship table and within five points of the top six.
On paper, the Tigers have a tough run-in – starting at Middlesbrough on Saturday before facing West Brom, Sheffield United, Swansea City and Bristol City – but Bowen insists he and his team-mates are remaining cool, calm and collected.
“We’ve got nothing to lose,” he said. “No-one expected us to be in this position, so the pressure is off us and hopefully we can use that to our advantage.
“It’s now three wins on the bounce for us with five games to play – hopefully we are coming into form just at the right time in order to get ourselves into the top six.
“There’s still a lot of football to be played and we’ve just got to do our bit. All we can do is focus on ourselves but, as I say, we can play with freedom and no fear because there is no pressure on us whatsoever.
“The boys are enjoying their football and, hopefully, we can get the results we need in these last five games to get the job done.
“We know it will be a tough ask with the teams we’ve got to play but we’re targeting five wins. All we can do is go out each week, give our all and see where we end up.”
Looking ahead to Saturday’s trip to the Riverside Stadium, Bowen added: “It will be a real test against Middlesbrough – a side who have the same ambitions as ourselves.
“But we went to Leeds away and beat them 2-0, so we know we can beat anyone on our day. We’ve just got to be on our game and play the way we want to play.
“Middlesbrough’s home record hasn’t been great of late, so hopefully we can go there with a game-plan, make life difficult for them and come away with the result we all want.”