I requested a CLI on my AAdvantage card yesterday. My 6 months will be May 11, 2014. Starting limit was $5,000 I requested to increase it to a total of $15,000. I got the "Your request is under review" . Today I go an email about my Credit limit request, it said it was approved and ready to be used immediately. I also have the Diamond Preferred with a $3,700 limit. Citi is by far lacking on limits. My cards in my signature are outdated so please don't use them as a refererence. But my limits on my other cards are above $10,000 I have 6 total cards.