"We can still catch up with group leaders England if they slip up somewhere and even if we don't, we should finish ruuners-up and get another chance to qualify through the play-offs," Bilic told daily Sportske Novosti.
"I will stay at the helm until the end of our 2010 World Cup campaign, not a second longer because four years in charge is enough," he said.
The exit forced England's former manager Steve McClaren to make way for Italian Fabio Capello, who put England in the driving seat to reach South Africa in 2010 with four straight wins in Group Six, including a 4-1 away rout of the Croatians.
"England are in a commanding position to cross the finish line first but things can change, I have a hunch it won't be a walk in the park for them," Bilic said.
"We are not too happy with our performances but it's all about getting the points now and we are used to playing under pressure so we're optimistic."
