Blaze meet Stars – led by former coach Marc LeFebvre – for the first time this season when they clash at the Skydome on Saturday, while they head to Steelers on Sunday for a third encounter in as many weeks.
Weber said: “Dundee lead the league for goals for and they have a number of guys in the top 20 scorers.
“But they do give up goals too so we will have to have a killer instinct and be prepared to capitalise on our opportunities while eliminating their chances.
“They rely on their goalie to make the big saves but they score timely goals and they have three lines who can score. It is going to be a challenge for us.
“We have seen a lot of Sheffield in the last few weeks. They are one of the best teams in their play away from the puck, which is a big thing for a coach.
“They are well schooled in their tracking and taking away your time and space. They do not give up too many shots or too many Grade A scoring chances and they try to outwork you.
“We are going to have to out-work them for 60 minutes. In their building recently we produced one of our best efforts and we will need the same again to get a positive result.”
Blaze will hand a debut to James Isaacs against his former club Dundee after the Canadian defenseman joined on a short-term deal.
Weber added: “It is amazing how these things kind of work out but I know he is very excited by the opportunity.
“He is a steady guy at the back, he blocks shots, he keeps players to the perimeter and he has a good first pass. He plays a simple, effective game.”