Would it be fair for me to ask for our child’s birthmother to work on her relationship with the birthfather?

My daughters birthparents don’t speak.  She lied to him about the pregnancy and so he didn’t find out about my daughter until shortly before she was born.  Since then, our birthfather has tried to be in touch with our birthmother, but she refuses to speak with him.  We had to have separate meetings during the adoption process because she refused to be in a room with him.  And since then, he has texted & emailed & called her and she refuses any contact.  I don’t believe he has any poor intention at all .. he seems to lover and miss her and seems to want to mourn the loss of parenting their daughter together.

Would it be fair for me to ask for her to work on her relationship with him?  My husband & I very much believe that they should be friends (they created our daugther together afterall) and that it would be great for our daughter to be able to have visits with them both at the same time.  Not every time, but sometimes.  Do I have the rite to ask that?