Establishing Paternity: My Girlfriend is Married but Pregnant by Me

My question involves paternity law for the State of: Tennessee.

Is there any way that I don't have to put her husband's name on the certificate? They're not divorced yet but they're about to start the paperwork, but they'll be still married by when the baby is born, so I wanna know if there's anything I can do to not put his name on it

Establishing Paternity: My Girlfriend is Married but Pregnant by Me