It is said that the couple will exchange vows at the actor's hometown of Texas in front of very few guests, reported Aceshowbiz.
The wedding is kept so private that even the workers involved with the nuptials had to sign nondisclosure agreements.
They have also invited only two dozen of close friends and family members for the celebration.
Alves will appear via video instead of in person at Step Up Women's Network luncheon that honors her. This will allow her to be close to the wedding venue instead of in Beverly Hills.
McConaughey proposed to Alves, who gave birth to his two children, last Christmas.
"Just asked Camila to marry me, Merry Christmas," he had said at that time.