You can request a Delta SkyMiles® Blue American Express Card credit limit increase online, through the American Express mobile app, or by calling customer service at 1-800-528-4800.
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Delta SkyMiles® Gold American Express CardHighest reported credit limit: $50,000, according to a post on the myFICO forums. Welcome offer: Earn 40,000 bonus miles after you spend $2,000 in purchases on your new card in your first six months of card membership.
Overpayment on your credit card does not improve your credit rating or increase your card's limit. If you make an overpayment, the card company will apply the negative balance toward your next statement, but you can also request a refund.