The home side's plans were disrupted by an early leg injury to full-back Ashley Smith, with Connor taking his place.
Goodfield's signing follows that of fly-half Shaun Connor from the Ospreys and the re-signing of Ashley Smith, Martyn Thomas, Steve Jones and Gethin Robinson.
Ashley Smith's fine break almost resulted in a second try for the Welsh region but his final pass was poor and the chance was lost.
Paul Emerick, Jamie Corsi, Ashley Smith, Phil Dollman, Gareth Maule, Alix Walker, Lewis Evans and James Harris have all signed contract extensions at Rodney Parade.
The Dragons led 10-6 thanks to a try from centre Ashley Smith, but Wasps sealed victory with tries of their own from Damian Varley and Josh Lewsey.
Ashley Smith's fine try and the boot of Jason Tovey gave Dragons an early 10-0 lead, before Ben Jacobs's disputed try and Dave Walder's boot got Wasps going.
The visitors had to realign their backs division before kick-off - an injury to Will Harries saw Pat Leach move to full-back with Ashley Smith brought into midfield.
Jones, Mafi and Denis Hurley saw plenty of possession in the first quarter but Munster grew frustrated by the Dragons' well-organised, aggressive defence and O'Gara had to react sharply to prevent Ashley Smith from releasing a team-mate for the line.
CNN's George Howell, Sean Morris, Matt Smith, Ashley Hayes, Sarah Dillingham, Kim Segal, John Zarrella, Rich Phillips and Dave Alsup contributed to this report.
Ashley Westwood, AJ Leitch Smith and Shaun Miller are also expected to sign new deals and Gradi confirmed that four academy scholars have been offered first-year professional deals.
CNN's Vladimir Duthiers, Karen Smith, Greg Botelho, Jareen Imam, Yousuf Basil, Nana Karikari-apau and Ashley Gallagher contributed to this report.
CNN's Ed Payne, Matt Smith, Mike Pearson, Jessica Yellin, Deirdre Walsh, Lisa Desjardins, Ted Barrett and Ashley Killough contributed to this report.
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