Turbotax tells me I can claim the EITC, but the IRS website makes me think I can't.

My daughter's mother and I cohabitate, but are not married. I marked that my daughter's mother will be claiming her this year, and she was then marked as nondependent, as expected. Turbotax then tells me I qualify for the EITC based on my qualifying child. However, the IRS website seems to say that the parent claiming the child as a dependent is eligible for all child-related tax credits, including the EITC. Without a qualifying child, my income is over the single filing limit (which is like 16k?). I should not be able to claim this credit without claiming my child as my dependent right?