Dragons won their most recent fixture at Rodney Parade: 37-16 over Brive in the European Challenge Cup but have not won successive matches at the venue since the New Year.
Connacht's four game winning run in all tournaments ended with their defeat at Leinster on Saturday.
The Guinness PRO12 champions have not been victorious away from home in the Championship since a trip to Edinburgh in early March.
Connacht have won their last seven encounters with Dragons since the Men from Gwent were victorious 14-3 at Rodney Parade in November 2012.
Overall Guinness PRO12 head to head record:
Played 26, Dragons won 9, Connacht won 17.
At Rodney Parade, 7.15pm.
Referee: George Clancy (IRFU, 84th competition game)
Assistant Referees: David Wilkinson (IRFU), Jason Bessant (WRU)
Citing Commissioner: Jeff Mark (WRU)
Suite 208, Alexandra House,
Ballsbridge, Dublin 4, Ireland