The Dragons saw their unbeaten record crumble when losing 1-0 in Zenica on Friday, when Miralem Pjanic missed a penalty.
Greece's late 1-0 win over Liechtenstein means Bosnia-Herzegovina lead Group G now only on goal difference heading into the final series of matches - which sees them at home to bottom side Liechtenstein and then finishing off the regular campaign in Lithuania.
The unexpected loss has blown open the race to reach Brazil 2014, with third-placed Slovakia, four points adrift, suddenly brought back into contention.
Susic, though, remains confident his men have what it takes to seal an historic first qualification for the World Cup finals, having lost out in the play-offs last time around to Portugal.
"Victory in our next match is imperative. I cannot promise anything, the only thing I can say is that the players will give their best in order to achieve a positive result in Zilina," said Susic, the former Paris Saint-Germain star who represented
Yugoslavia at the 1982 and 1990 World Cup finals.
"We played well at times (against Slovakia) and I put out an offensive team.
"I said to the team at half-time that we were not so bad and it would have been different if we had scored a goal.
"For me, this is the best team we have. It was just that most of our key players were just below their (normal) level against Slovakia, and we could not find a solution.
"However, our chances (of automatic qualification) are not lost, this team can win in all three matches."
While Greece have seen their qualification chances boosted, coach Fernando Santos maintains his men will have to show much more than they did when labouring to a 1-0 win over whipping-boys Liechtenstein in Vaduz when they host Latvia.
"I am ashamed of the performance and I hope the players are too. There was no pressing, no marking, nothing," he said.
"If the players really want to go to the World Cup, they will have to do better."
Olympiacos forward Konstantinos Mitroglou, who finally got the breakthrough against Liechtenstein with 20 minutes left, says the players must not dwell on the below-par performance if they are to remain in the hunt for top spot.
"We have to leave this game behind us go for qualification straight from the group games," he said.
Group G's other match sees Liechtenstein travel to Lithuania, with both sides having little other than pride left to play for when they meet in Marijampole.