The 22-year-old says failure to win on Friday evening will be a blow to their chances of automatic qualification for the 2014 World Cup
The Montenegrins currently lead England by two points at the top of their group, but with Roy Hodgson's side facing San Marino, the world's lowest ranked side, Savic knows victory in Chisinau is vital.
"If we can't beat Moldova, maybe we do not deserve to go to the World Cup," Savic told Fifa.com.
"We need to go out there and take the points."
Although Friday's encounter would appear a straight forward task for Savic and his international colleagues, the 22-year-old is determined not to take his eye off the ball.
He added: "This is a dangerous situation, we need to rise to it. The important thing is that we are aware it will not be easy. We have to stay concentrated. Maybe the hosts will not have a lot of attacks, but we must be ready at all times."
Meanwhile, goalkeeper Vukasin Poleksic is fully aware of the psychological edge a win over Moldova could give his side, ahead of their crunch clash with England.
"We are taking the upcoming match even more seriously than England, because we are aware that victory over Moldova will give us a lift," he said.
"With three points, we would welcome England full of confidence and ready to fight like lions."