The Swiss host third-placed Iceland in Bern on Friday and are in complete control of their own destiny thanks to a four-point lead on second-placed Albania.
Indeed, should results go their way, then Hitzfeld's side could secure a place at next year's Brazil finals with victory in Norway next week.
Firstly, though, the vastly experienced German coach is urging his men to take care of the job in hand.
"I do not think I need to warn the team," he told a press conference.
"We know how strong Iceland are from the first match against them.
"Our victory [in a friendly] over Brazil will have done us all good, but the three points against Iceland are much more important.
"I don't think at all for one second about how we could be qualified on Tuesday. What is important now is the game against Iceland and they will want to win this match also."
Hitzfeld revealed Basle's Fabian Schar was set to play in central defence alongside Steve von Bergen as Johan Djourou continues to battle for full match fitness.
The Switzerland coach added: "We do not have much chance to rehearse things here in the national squad, so that is why I have put all my cards up on the table from the start."
Iceland coach Lars Lagerback knows his side, who are one point behind Albania, will be up against a tough challenge in Bern.
"For me they are the clear favourites for the number one spot and to reach the World Cup," said the Swede, who managed his own national side from 1998 until 2009, taking them into five consecutive championships.
"The battle for second place, though, is tough.
"The teams seem fairly balanced, and accordingly the final details will make the difference," he added in the official magazine of the Swiss Football Association, www.rotweiss.ch.
If Norway are to hold onto their outside hopes of gatecrashing the play-offs, then victory over bottom club Cyprus in Oslo will be crucial.
Captain Brede Hangeland, the Fulham defender, said to NFF TV: "We know it will not be easy, but we must win, and hopefully we will show that we are a better team than Cyprus.
"It is important that we are able to maintain a high pace and put good pressure on in large parts of the game, this will be key to be able to break down a team which is good at defending."
Albania head to Slovenia looking to keep themselves on course for the play-off shake-up, having recorded a famous win in Norway during March.
Forward Hamdi Salihi said: "We are in a good position now. There is a gap between us and Switzerland, but there are still four matches to go so we have chances of overtaking them and taking first place.
"Even if we fail, we can stick to the current position and try to qualify as the best second-placed finishers."