A disappointing second-half showing led to a 38-12 loss against Munster at Rodney Parade last weekend, leaving the Dragons tenth in the table with only one win from eight games.
The Welsh side's task does not get any easier this weekend as they face a Glasgow Warriors side unbeaten in the GUINNESS PRO12 at their Scotstoun fortress for over a year.
Yet with the Dragons the last side to record a league win at the stadium, Jones is confident his side will avoid the same fate as the Titanic this campaign.
"It's disappointing for everybody - the supporters, stakeholders and, believe me, the changing room was heartbroken by what went on against Munster," Jones told the South Wales Argus.
"We are fighting hard to make sure we turn this around. It's a big boat going across the Atlantic in record time to New York and we will make sure we avoid that big iceberg.
"It doesn't just come from me, Kingsley (Jones, head coach) and the players, it comes from everybody at the club with the board helping to direct the ship.
"We are working as hard and as accurately as we can and we are determined to turn things around.
"Kingsley and I are not bums, we are very proud of what we have achieved in the game and want to build on that here at Newport Gwent Dragons."
Follow us on Facebook, join the conversation on Twitter, sign up to our YouTube channel for extensive match highlights and sign up for our newsletter for regular updates on the GUINNESS PRO12
Guinness PRO12
Suite 208, Alexandra House,
The Sweepstakes
Ballsbridge, Dublin 4, Ireland