The offer is available to customers who open or hold a TSB current account which is credited with at least £1,000 per month.
Ian Ramsden, mortgages director, TSB said: “Customers could potentially save thousands by switching their mortgage.
“Those looking to remortgage can now make significant savings with our range of fee-free products in addition to our £500 cashback offer.
“This is just one of the ways in which TSB is helping fuel local economies by putting money back into its customers’ pockets.”
TSB’s remortgage range has rates starting from just 1.79% with fee-free remortgage alternatives starting at 2.49%.
These products come without application or product fees, and TSB will pay for the valuation and standard legal fees.