Speaking after the game, Ryan Jones, who came on as a second half replacement, remained positive about the Ospreys' chances of making the play-offs. They are now seven points behind Leinster in the table.
"We've come away to Ireland for a week after the disappointment of a loss in Europe last weekend and we've got six points from two very tough away fixtures," said Jones.
"We're disappointed with the second half today, but all in all, I think it's been a very good trip and experience for us.
"It's three games in six days and that's tough at this level. The pitches have been dry, the games have been fast, there's been a lot of phases, it's been physical and an emotional rollercoaster that we've been on."
He added: "We're confident that we can beat anyone on the day. We showed some maturity, there were some guys who haven't played for a long time who put in some fantastic performances today, like Ed Shervington and Gareth Owen, they are the guys who are the future.
"But, we've got some big fixtures left this year, we'll try and get some more points to get us into the play-offs. We know that we are capable of it on the day."
Giving his take on the game, Leinster coach Michael Cheika said: "I didn't have to say too much to the boys after the game. In the first half we were average at best. The Ospreys are a very good side and we know that we were probably lucky to be only six points behind at the break.
"They played with a big hard defence (against us) and I'd say that we could see them (the Ospreys) again before the end of the season with the way things are shaping up.
"We rested a couple of players tonight and could have a few more players to maybe come back next week. We'll just wait and see."
|Leinster Rugby Score Card|
|Ospreys Score Card|