The County Durham-born former Newcastle United and England manager died in July 2009 after a battle with the disease.
The Sir Bobby Robson Foundation, set up in 2008, works with scientists at Newcastle University to help develop cancer treatments.
Patron and Sunderland FC chairman Niall Quinn will formally announce the new total later.
The charity focuses on the early detection of cancer and the development of new drugs to help beat the disease.
It has helped establish the Sir Bobby Robson Cancer Trials Research Centre at the Freeman Hospital in Newcastle.
Mr Quinn will make the milestone announcement at Barclays' contact centre in Sunderland, where staff have chosen to raise funds for the foundation over the coming year.
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