The sports brand's 'Impossible is nothing' campaign will run alongside more than 4m downloads of Sky's top programmes, including Lost, Soccer AM and The Beckhams go to Hollywood. The deal was brokered by Carat.
The Adidas ads will offer Sky+ users access to previously unseen footage of sports stars such as David Beckham and Jonah Lomu.
Last month, Sky Anytime signed up Jaguar and Sony to advertise on the service following a trial by Carlsberg. The beer brand ran 10-second ads encouraging viewers to watch an extended version of its recent World Cup campaign at the end of each programme.
Sky Anytime downloads the week's most-popular shows - as deemed by Sky - to the hard drive on Sky+ boxes. Viewers are then given seven days to watch them.