That impressive run has included crucial Heineken Cup triumphs at Saracens and at home to Racing Metro and Clermont Auvergne, while they picked up what could be a vital losing bonus point in their only Pool 2 defeat to Clermont last month.
Sunday's 30-8 win over Connacht lifted Leinster to third in the Magners League standings and openside flanker Shane Jennings is desperate to see that success continue in the build up to the massive Heineken Cup clashes with Racing Metro and Sarries.
But despite yet another big win at the RDS, Jennings insists there is no chance of his team-mates getting carried away prior to what could be a season-defining few weeks on both the domestic and European front.
"We have to keep the ball rolling," said Jennings as he looked ahead to Friday's home fixture against the Ospreys.
"We have momentum. We have to concentrate on next week and the big Heineken Cup games coming.
"We are pretty level-headed. As a group of players, I don't think we are too happy with the way we played for most of the game (against Connacht).
"There are a lot of frustrated heads, me included. We didn't control the ball at all. We didn't look after it at the ruck. We got clear instructions from the ref and we didn't deal with it properly.
"I don't think the score-line showed the way the game was. They certainly had us under a lot of pressure and we were very, very rusty.
"We regrouped at half-time. We realised if we concentrated on the basics, if we got a bit of shape, if we got a bit of ball, we could do a bit of damage.
"If we take our eye off Ospreys, they will do a job on us. The last time they came over here, they won the League, so it is something to look forward to."
Ireland wing Luke Fitzgerald could make his comeback appearance against the Ospreys following the knee injury he picked up playing for his country in November. That would be a huge boost for Leinster as they look to go into the January 15 tie with Saracens on a major high.
Head coach Joe Schmidt is set to welcome back a host of Ireland stars, including Heineken Cup winners Brian O'Driscoll, Gordon D'Arcy, Cian Healy, Jamie Heaslip and Jonathan Sexton for the repeat of the 2010 Magners League Grand Final.