It looks like the negotiations between the Walt Disney Co and Time Warner Cable for a new carriage agreement may not go down to the wire after all. On IHaveChoices.com, the website Disney launched last month in response to TWC’s RollOverOrGetTough.com, the company has posted the following statement.

The Walt Disney Co. and Time Warner Cable have made significant progress in our negotiations for continued distribution of ABC, Disney and ESPN networks and services. We are now focusing all our attention on a successful conclusion of these efforts prior to the September 2 deadline.

UPDATE Sunday AM: TWC issued an almost identical statement on its site RollOverOrGetTough. Additionally, both companies have toned down rhetoric on their sites and have pulled attack advertising, a clear sign they consider an agreement pretty much a done deal. Among the issues at hand were retransmission consent fees for 4 ABC O&O stations sought by Disney, increases in carriage fees for the company’s cable channels ESPN, Disney Channel and ABC Family, a deal for new channel Disney Jr., which will replace SoapNet, as well as fees for Web-based ESPN3.com.