Mladen Krstajic's men are top of Group E after beating Costa Rica in their opener, with their opponents' draw against Brazil in the other match meaning victory would seal qualification with a game to spare.
With a daunting match against the South American giants to come in their last group game, they are priced at 8/5 (2.60) with William Hill to clinch a vital win here.
However, the Nati have lost just once in 23 fixtures, and are available at 19/10 (2.90) to put themselves well en route to the last 16 by coming out on top, or 15/8 (2.88) to play out a second consecutive draw.
The Eagles are likely to line up with the same team that overcame Costa Rica, although Filip Kostic will be hoping for a start after an impressive performance from the bench.
Vladimir Petkovic is also unlikely to make any changes after his team's impressive opening performance, but Valon Behrami did sustain a slight knock against Brazil.
Edgy opening 45
Considering they kept a clean sheet in seven of their final nine qualification matches, perhaps it should not have come as too much of a surprise to see Switzerland frustrate Brazil so effectively.
After putting in all that effort, they will be determined not to let anything slip in a potentially crucial match against their European rivals.
Having conceded before the break in just three of their last 18 fixtures, a solid Swiss side will certainly feel confident of keeping things tight until at least half-time.
As well, the fact they have only scored in the opening 45 minutes in two of their last eight matches themselves suggests a tight first period.
With seven of Serbia's last 10 games having produced the majority of goals after the break, odds of 19/20 (1.95) offer solid value on the second half proving the highest-scoring.