Do I need need a State ID number for my 1099 payers on income that I didn't have state withholding? There's no state ID slot on the form, so I don't have it.

This involves form CT-EITC (Earned Income Tax Credit).  I had two major clients this year that I needed to receive 1099-MISC forms from.  On the form it has their TIN (I imagine it's their EIN).  When I got to filling out state tax info, it asked me to list up to three sources of income that I did not have state tax withheld.

My old job that I left filled in automatically from my W2 (they weren't withholding state, no big deal).

But the other two slots for my big freelance clients were empty.  I put in the TIN as the Federal ID number because that's all I had, left the state ID blank, and put in the amount I was paid.

When I got to the checkup round for state, TurboTax flagged the missing state IDs.  Other than calling up my clients and asking them, I don't know how I'm supposed to know this info since it's not provided on the 1099-MISC.