I'll get back to you shortly.

Meaning

I'll respond to you soon.

Examples

• John: Have you reviewed the contract yet?
• Alice: Almost. I need to check one more clause. <b>I'll get back to you shortly</b>.
• John: Okay, thanks. I need to proceed based on your feedback.
• Alice: I understand. As soon as I'm done, <b>I'll get back to you shortly</b>.