New Zealand, who have four wins from five matches, can seal a top-two group finish with victory over the tournament co-hosts at Wankhede Stadium, which would earn them a quarterfinal against one of the lower-ranked teams from group B such as England or the West Indies.
Avoiding big guns such as India and South Africa would be a big advantage, and Oram is hopeful their winning momentum, albeit achieved mostly against associate nation teams, can take them past Sri Lanka on Friday.
"There's a very confident feeling in the camp at the moment," he said today.
"The guys have played well three games in a row now, so it's a turnaround from where we were last year, but we also have to realise that the actual business end of the tournament starts now and we have to win Friday to give ourselves an even bigger confidence boost going into the quarters."
He was urging his teammates to maintain the standards they had set in their four wins, three of which have come against so-called minnow teams.
"Guys are just performing their roles consistently, we've seen guys get hundreds, the top order is doing their job, and we've had wickets in hand going into the power plays," Oram said.
"The bowlers have just continued to be boring and strangle the opposition, and we're feilding well, so guys know their roles and are starting to perform them.
"We've got to keep doing that against the best sides in the world."
New Zealand's path to the quarterfinals has been straightforward.
Apart from a lop-sided seven-wicket defeat by Australia, Daniel Vettori's men have barely shifted past second gear in beating Kenya, Zimbabwe and Canada.
Only against Pakistan were they involved in anything that could be described as a close match and even then they eventually won at a canter by 110 runs.
While India, South Africa and England have been pushed in some group B thrillers, New Zealand's main headaches seem to have been how to spend their extra free time thanks to 10-wicket wins over the two African teams, and two injury concerns.
Skipper and frontline spinner Vettori (knee) and paceman Kyle Mills (thigh) are both in doubt for the Sri Lanka match. Vettori is a good chance to play, but the extent of Mills' injury, sustained during Sunday's 97-run win over Canada, remains unclear.