The 39-year-old actor, who previously dated actresses Zoe Saldana and Renee Zellweger, got divorced from Jennifer Esposito in 2007, reported Contactmusic.
“She`s wonderful, the one for me. It feels great,” Cooper said.
The actor`s mother Gloria is reportedly backing the couple, who were recently spotted cosying up to one another at an award show.
“Gloria`s been really won over by Suki. She`s backing Bradley all the way if he wants to tie the knot with her,” a source said.
“She thinks Suki is great for him and, although initially a little concerned about the 17-year age gap, that vanished as soon as she saw them together,” the source added.