Kirch already owns the rights to the World Cup in Europe, the US, Japan and South Korea and has caused controversy in the UK by the size of the fees it is asking UK broadcasters to pay.
Michael Zen-Ruffinen, vice-president of the International Football Association Federation (FIFA), said that although the deal is close to completion, an agreement could not be assumed until the contracts are signed.
The German group has staved off a challenge from European rivals RTL and Vivendi, which created a joint venture sports rights company they said would challenge Kirch for the rights to World Cup football rights it did not already hold.
"Kirch is currently carrying out its own due diligence procedure and contacting broadcasters which had already signed contracts [with ISSM-ISL]," Zen-Ruffinen added.
Kirch has until July 2 to complete the deal.