And as they turn their attentions to a Heineken Cup clash with English champions Harlequins, Elwood is desperate for Connacht to build on that success despite some injury concerns.
He told the Irish Times: "It is a massive opportunity for us. It seems like an annual fixture against Harlequins. But this is a big game - we are going to play the English champions.
"They have blitzed everyone in our group so far and it is going to be a daunting prospect. But we are going with a bit of confidence after our victory last week.
"We had a great game against them here when we both tried to play ball. It was 30 points to 22. And we are going to have the same mindset over there. We are going to play. It is Heineken Cup rugby and we are going to show people what we can do. It is going to be difficult but we do want to go there and play.
"We are still concerned over George [Naoupu] - he didn't train and is still suffering from that stinger that he got. He will be reassessed and we are going to give him every opportunity. Kieran Marmion didn't train because he was taken off with a dead leg.
"And Swifty [Michael Swift] didn't train because of knocks and bruises and old age. Dave McSharry also had a rest day because he has been going through the mill in the last few weeks. Outside of that, we aren't too bad."
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