I don't know that outsourcing will increase, only because in times like these countries tend to get more protectionist, which unfortunately can mess up the economies even more. But at least for larger companies that are easier to monitor I wouldn't be surprised if the US govt steps in and tries to stop outsourcing of any more customer sevice jobs etc.
However, the Indians are shooting themselves in the foot right now -- in the past few months every time we've sent work to programmers for an estimate, they've come back asking for ridiculous rates -- ie they wanted 1500USD for a 10 hour job. To be honest, I haven't been reading up on what's going on in India, not sure if they are experiencing a tonne of inflation, or if it's just that with the ability to work online everyone is starting to compete for a global rate of pay. However if prices go up like that, they are going to kill their own outsourcing economy.
Speaking of protectionist policies, did you see in the paper yesterday that Italy has voted to close it's borders to all imigration for the next 2 years? They have been fingerprinting and exporting the Romany gypsies -- including any minors they find even if they are unaccompanied. Also if immigrants with legal status lose their jobs they are now only going to be given a limited amount of time to find new work before they are deported -- even if they have all of their papers in check! Meanwhile their birthrate is one of the lowest in Europe, so talk about shooting themselves in the foot -- aging population, shrinking birthrate, blockade on immigration -- if they keep on this path I wonder where Italy will be in 20 years.