THE WORLD Anti-Doping Agency will wait on the Australian Sports Anti-Doping Authority's decision before deciding whether it will appeal against the 'not guilty' verdicts of 34 past and present Essendon players. 

On Tuesday, the AFL Anti-Doping Tribunal said it was "not comfortably satisfied" that the players had been administered Thymosin Beta-4 or that they had violated the AFL's anti-doping code at Essendon in 2012. 

In a statement released to AFL.com.au early Wednesday morning, WADA director general David Howman confirmed his organisation would review the case, but only once local processes were exhausted. 

ASADA chief executive Ben McDevitt will front a highly anticipated news conference in Canberra on Wednesday morning. 

However, AFL.com.au understands it's unlikely McDevitt will have a final decision on whether to launch an appeal against Tuesday's verdict. 

While discussions at ASADA head office continued on Tuesday night, it's expected McDevitt will take more time to review the findings handed down by chairman David Jones. 

ASADA has 21 days to lodge an appeal.

Howman's statement made it clear the global anti-doping watchdog was keeping a close eye on the Australian case. 

"WADA acknowledges today's decision by the AFL Anti-Doping Tribunal in the cases of 34 current and former Essendon Football Club players," Howman said. 

"At present, and as is standard procedure with all anti-doping cases, the matter now rests with the anti-doping organisation concerned and other associated bodies to decide whether or not to exercise their rights of appeal," he said. 

"Once fully reviewed by all parties concerned, and following receipt of the full case file on the Tribunal’s ruling, WADA will review the reasons for the decision and determine whether or not to exercise its own right of appeal."