Laidlaw hopes the Dark Blues can build on their 34-10 win over Italy and mount a serious challenge for the RBS 6 Nations title. But the Edinburgh half-back admits their first championship win since March 2011 was far from flawless and those imperfections must be erased if interim head coach Scott Johnson's side are to make it back-to-back victories.
Laidlaw said: "It was great to win the game against Italy and now we have got to use that as a springboard. Coming off the back of a good performance, it's now about building another good show. But Scott has been telling us that that game is finished. Let's now try and improve on little bits and move on."
He continued: "That's his philosophy; the things we did well against Italy, do them even better this weekend. The things we didn't do too well - and there were a couple of things - do them better as well and give ourselves a chance of winning the game.
"It's everybody's goal to win the tournament. Everyone wants to win the Six Nations. That's why we are here. We are where we are. We have won one game. Now we want to win a second."
Ireland have not lost in Edinburgh since 2001 and were unlucky in their narrow 12-6 defeat at home to England a fortnight ago. Laidlaw, therefore, is not complacent about the threat they possess, in spite of the five changes forced upon coach Declan Kidney.
"We don't have a good record at home to Ireland in recent years but we want to change that, that's for sure," Laidlaw added. "We desperately want to win on Sunday and start improving on that record.
"They had a very good win against Wales, with some class play from some class players. Then they had a tough one against England, it was played in some poor weather. A few things went against them and a slippery ball doesn't help.
"We know the challenge that will be coming here this weekend and it's one we want to overcome. They have got three brilliant teams and one good team in Connacht in terms of provinces.
"They have a lot of good players to pick from, so it doesn't matter if there are injuries, there are good players to come in and those who do will be trying to prove a point to the coach that they should be the starters."