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I tried doing this exact thing 2 months ago. I tried 3 seperate occations, when I got approved, when I called to activate, and then finally called to a account manager and they all said the same thing. They require 6 months and then they will review your account for a CLI.
Then I tried again when they held my funds when I tried to make my first payment. My CL is at $3500, and I was making a $34xx payment. I called and explained that I need a larger CL because for the last 2 weeks, I haven't been able to use my Discover because it's been maxed out. They still said that I need to wait for 6 months. They did release the hold on my payment though, otherwise it would have been a "up to 8 days hold"
I mean, I think you should still try. But don't be disapointed when they don't CLI you.
Huge YMMV, I was recently able to get my initial CL bumped to 10k from 5k after recon. I called and spoke with a credit analyst in their "new accounts" department immediately after getting the instant approval message online. At first, I was told that I will need to wait for 6 months. After a lengthy conversation and requesting for a supervisor to call me back, the same rep called me back a few minutes later to inform me that my CLI request was approved!