Athletes have called for Wada to widen its investigation to other countries and sports.
To do this, Reedie said Wada would need help to increase its current budget, which is approximately $26m (£18m).
"If full-blown investigations are to become the norm then we must of course seriously explore greater funding," Reedie said.
"I have heard ever-more vociferous calls for a slice of the millions of dollars that are paid for sport television revenue to be provided to the anti-doping cause. This is a bold idea, and I put it to the leading sport federations and broadcasters: now is the time to look at this seriously.
"I also think that major sport sponsors should start to consider how they might help fund clean sport," added Reedie, speaking at Wada's annual Symposium for Anti-Doping Organizations in Lausanne, Switzerland.
The World Olympians Association, which represents Olympic athletes, has backed calls from Beckie Scott, chair of the committee that represents athletes at Wada, to widen its investigations.
