No harm in giving it a try if it's a soft pull. 
I tried last week, and was denied a CLI without a HP. My yearly income is $12k, and my limit is $10k, so I wasn't really expecting to get anywhere- especially since Citi is notoriously stingy with CLIs. The $10k limit is Amex's doing, and I'm glad I did that.
a little late to this post, but...
I got my Citi Costco Anywhere card 06/20/2016 opening day for those that didn't aready have a Costco AMEX card. In March, 9mo after getting the card (7mo after they started reporting) I requested a CLi and recieved a $1.8k increase. I went ahead and did my Citi AAdvantage card at the same time for a $1.9k increase (had for 13 mo without a request for CLI). Both were soft pulls if anything.
