Certainly, you can upgrade your Southwest Rapid Rewards Plus to Southwest’s Premier or Priority card by calling 1-800-792-0001. Upgrading your card rather than canceling and applying for a new card is a smart move since you’ll avoid the credit score impact from requesting new credit and closing an active account. It could take up to four business days to process and approve your upgrade request, plus another seven to 12 days to receive your new card in the mail. You also won’t lose any of your rewards by switching cards, but keep in mind that you probably won’t be able to qualify for your new card’s sign-up bonus since you technically aren’t opening a new card (you’ll have the same credit account as before).