As of today, the form should be available. 

• If you are using the TurboTax CD/Download software program, open TurboTax and select Check for Updates from the Online menu near the top.
• If you are using the online version, it's an automatic update when you sign in and out. 

If you have paid qualified education expenses and meet certain requirements, you may qualify for an education tax break including the American Opportunity Tax Credit AOTC, Lifetime Learning Credit or Tuition & Fees deduction. To see if you qualify, here are the links: 

Qualified expenses

Deductions

Credits

I am using the download and it tells me form 8863 is not available yet after performing updates.  What can I do?

You may need to perform a manual update. Please see this for more information: Manually Update TurboTax for Windows Software (Basic, Deluxe, Premier, Home & Business)

@NNeal