The 34-year-old, who is currently with the Three Lions in Miami preparing for the World Cup in Brazil next week, has three daughters - Lilly-Ella, 10, Lexie, eight, and two-year-old Lourdes.
While Gerrard's other half has admitted that the couple would like a son, they believe that chances are slim due to their all-female brood.
"I know Steven has said before he would like one but the chances of us having one is slim with having three girls," Alex told Hello! magazine. "He laughs and says he can't risk it - it's going to cost him a fortune in weddings if we have another girl."
Alex also revealed that Gerrard will take photos of his daughters to Brazil because the family have opted to stay behind in the UK unless England reach the latter stages of the tournament.