The westerners have not won on the road in the league since September 2006 and have not beaten Leinster in any of their last six meetings - a win for the hosts would lift them into third place in the league standings.
Munster and Edinburgh, who meet on Saturday, will also have designs on a move toward the top end of the table with the hosts looking for a return to winning ways after failing to record a victory since late September.
Edinburgh have also had a patchy run this season, and have not recorded an away win since their last trip to Munster back in October of last year.
The weekend's third game sees Ulster travel to Glasgow Warriors on Friday night, with the former champions looking to move off the foot of the table.
A bonus point win could see Ulster jump past Glasgow in the standings, however if Glasgow keep up their fine home form this season they could push up into the top half of the table.
ROUND 6 FIXTURES:
Friday, November 2:
Glasgow Warriors v Ulster, Firhill, 7.30pm (live Setanta Sports 2)
Leinster v Connacht, RDS, 7.30pm (live Setanta Sports Ireland)
Saturday, November 3:
Munster v Edinburgh, Musgrave Park, 7.30pm (live Setanta Sports Ireland)