I don't think it would disqualify you...but Chase has been denying cards if you just recently got a card from them lately.

Over the last few months (starting back in April) I got United, Continental, Hyatt and Southwest. Tried to apply for Sapphire and denied due to too many new products. Understandable so I will wait...

My husband only had a Continental and then got a Chase Sapphire 2 months ago. He tried to apply for the Southwest card and Chase sent a letter saying no because he had just received a new account (meaning the Sapphire card). He sent a secure message asking if he could close the Continental card (since he could transfer to Onepass from his Sapphire) and get the Southwest card. They cancelled his Continental and approved the Southest card. He only got the Continental in April.

I have read other places that Chase seems to be cutting back on how often you can get a new product with them...