According to the Southwest Airlines cancellation policy, the timing of the refund depends on the mode of transaction you selected to pay while booking. Read below how long your refund will take to reflect to your account: 

• Cash and Cheque: The airline can take up to 20 to 25 days maximum to revert your money. 

• Online Payment: If you paid for your ticket using an online method, your amount will be reflected in your account in seven business days.