Centre Jamie Roberts has warned Wales that Scotland will be like a "wounded animal" after their home defeat to England in the Six Nations.
Roberts believes Scotland will also find extra motivation from their last-minute defeat in Cardiff two years ago.
"We will definitely face a wounded animal in Scotland," said Roberts.
"They deserved to beat England and they will be coming to the Millennium Stadium looking to exact revenge, certainly after what happened two years ago with Shane [Williams's] last-minute try."
Like previous championships when Wales have won their opening game - most notably when they won the 2008 Grand Slam - the camp is not getting carried away by victory in Dublin.
"We'll just rest up this week, prepare the bodies, get the minds right and same again from us hopefully," added Roberts.
"Those two words [Grand Slam] will be uttered during this week but we are week-by-week in this tournament; you can't afford to look too far ahead.
"It is a fantastic start for us, let's not underestimate that, and hopefully the rugby public will get behind us."
Wales' win - their third on the trot against Ireland - was achieved without four injured forwards: Dan Lydiate, Matthew Rees, Alun Wyn Jones and Luke Charteris.
A thrilling contest saw the lead change hands five times and looked to be going the hosts' way after Bradley Davies's sin-binning for a tip tackle helped Ireland take a 21-15 lead.
But a George North try and Leigh Halfpenny's decisive late penalty saw Warren Gatland's side triumph.
The Wales management believes Davies will be cited for the challenge on Donnacha Ryan, raising fears that he could be banned for at least the Scotland game.
"[We are] just delighted. We knew we could get the result if we played a good enough game of rugby," Roberts said.
"They got that try before half-time which was not great for us. We knew if we kept our discipline and kept playing rugby and kept the ball through phases, we would create opportunities or they would give away penalties.
"We did that to good effect in the second half. Obviously Bradley's yellow [card saw us concede] a try in that period but [I'm] thoroughly delighted to get the result.
"When you have got guys like Jon [Davies] and George in great form and the backline really working for each other and all the forwards, it proves very potent.
"We are just growing. We learned a lot from the World Cup and to come out and get a result was such a special feeling."