Report Abuse. Most uptodate answer I found on TurboTax is: The CRA can process your tax return almost immediately and send your refund much faster, if applicable. If CRA already has your direct deposit information, your refund should be deposited into your account within two weeks of filing.eport Abuse. Most uptodate answer I found on TurboTax is: The CRA can process your tax return almost immediately and send your refund much faster, if applicable. If CRA already has your direct deposit information, your refund should be deposited into your account within two weeks of filing.