The 63-year-old Rolling Stones musician, who split from wife Jo in 2008, has been dating 30-year-old Ana Araujo since February.
Araujo's father Manuel Pinto told the Daily Mail: "My daughter Ana is wise and intelligent enough to make her own decisions. If she wants to go out with and even marry Ronnie Wood, I and her family support her.
"It doesn't matter if he is older than I am. We would like to meet Ronnie one day."
Before being linked to Araujo, Wood had a much-publicised relationship with Celebrity Big Brother star Katia Ivanova.