The Rodney Parade region suffered up-front and saw four players sent to the sin-bin in their 32-13 defeat at Edinburgh. Both loosehead props Boris Stankovich and Phil Price were yellow-carded and referee Marius Mitrea awarded seven penalties against the visitors at the scrum.
The Dragons have the chance to claim their third win of the season when they take-on Munster at home on Sunday, and Jones has urged his charges to be on best behaviour.
He said: “We’ve got to be much smarter with our discipline but I can’t criticise Boris or Phil for their scrummaging – I felt WP Nel was on his knees a lot of the time and decisions could have gone either way.
“We’ve worked so hard on the scrum preparing for Castres and Edinburgh, we knew what they bring and Munster will present the same challenges with a strong drive and scrum.
“It may sound weird but I can’t fault our scrum. In the last five minutes they tried to push us over our line and we kept them out, that speaks volumes.”
The Dragons face Munster before returning to European Challenge Cup action, where they have enjoyed more better fortunes than their league campaign. And Jones is hoping to turn it around at home.
He said: “We’ve got a nine-day turnaround and a lot of things to improve on. It was a very disappointing night at Murrayfield and the yellow cards made a farce of everything, trying to win with 14, and even 13 at one point, is a very difficult challenge.
“But we are proud at home and Ulster were lucky to get the win when we felt we put in a good performance at the start of the month.”