"In the meantime, we have been taking action to make sure customers are not adversely affected and if any customer has experienced an issue then we would encourage them to get in touch with us so we can help put things right."
The spokesperson said although the majority of credit files have now been sent to the credit rating agencies, the agencies process the files one by one, month by month, so a completion date is not clear.
TSB's problems began in April, when it began moving its customer data from a system controlled by its former owner, Lloyds Banking Group, to a new system built by its new owner, the Spanish banking group Banco Sabadell.
The new system proved unable to cope with the number of people attempting to use it and some TSB customers faced weeks of disruption.
The issue prompted the Financial Conduct Authority to launch an investigation into TSB.
The bank's results out on 27 July showed TSB had put aside £176m to handle the costs of the fiasco, which will cover customer compensation, additional resources and foregone income as a result of waived overdraft fees and interest charges.
In the first six months of 2018 TSB made a loss of £107.4m, compared with a profit of £108.3m in the same period last year.