The 30-year-old has been out of action since sustaining a fractured leg in the Club World Cup in December.
“It will depend on his recovery, but I think that at the end of April we will see him playing again,” Victor Onate, general director of VOS Marketing, the company which represents Villa, told Canal 9.
“David is great. Although people may find it strange, he is working harder than ever, even when he could play. He is very focused on returning as quickly as possible.”