According to Contact Music, Busson, 46, plans to do all he can to make his relationship with the 39-year-old actress "as real as possible".
He said: "We both really want to make it right. We are a little bit advanced in our lives to play, and this commitment has to be a real commitment.
"We don't want it to be a marriage of fantasy. It has to be 100 per cent right."
The couple announced their engagement last summer, while a report earlier this year claimed that they were planning to wed "in days".
Thurman was previously married to actors Gary Oldman and Ethan Hawke. Hedge fund financier Busson has two sons from a relationship with supermodel Elle Macpherson.