I'm in a similar situation. My kid attends university in the UK. I looked up the irs instructions on 1098-T...
https://www.irs.gov/pub/irs-pdf/i1098et.pdf It says that universities, not individuals, file 1098-T. And when I use turbotax to print my forms to mail in, it does not include a 1098-T even if I pretend that I got one. So it's not critical that you actually have the form - though you'll want to hang onto receipts that document your expenses, maybe including the uni's official "cost of attendance" (COA) from their financial aid office.
In turbotax, on the "Forms" screen (as opposed to "EasyStep") I found a worksheet entitled "Student Info Wk". I filled this out manually, paying close attention to sections IV - VI. I was able to enter tuition payments there. It looks like I can e-file with no 1098-T. Hope this helps.
