You can try but I have a feeling you won't get it. Given they only gave you the bare minimum of 5k on the CSP and less than that (3k) for the Freedom, they'll probably deny you for the Hyatt and say they want to see how you handle those new accounts first.

 I am not a credit expert, therefore you should take the following information with a grain of salt. I was approved yesterday for the Hyatt card and my highest limit was 3k on my Jareds credit card.  I also have no prior relationship with Chase.  Our reports are different so I couldn't tell you, but there is a recent thread on someone receiving multple cards from Chase, I would check that out.  I've also read that if you already have a 5k limit you are more likely to be approved.  There are probably other things you need to take into account but I thought I would share my experience. 

Well it sounds like the Chase Marriott might actually be a better card after some research. I fear not being approved for either though.

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ssmith891 wrote:

Well it sounds like the Chase Marriott might actually be a better card after some research. I fear not being approved for either though.

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The issue here isn't with your overall credit profile, since Chase has already given you 2 cards. It's just that lenders often don't want to give too many new accounts to someone in such a short amount of time.

If you use the cards that you have regularly and always PIF, you have a good chance to get a 3rd Chase card in another 3-6 months. Internal scoring and usage plays an important role in how Chase evaluates existing cardholders who apply for additional credit.

I actually think the Hyatt card is the overall better product, but if you're heavily invested in Marriott (as I am currently) or if Marriott fits your travel patterns better, then you should go with that instead.