However, there has been no official word from Madonna confirming this and if she does go ahead with the adoption she will be following in the footsteps of Hollywood actress Angelina Jolie, who has also adopted children from Cambodia and Ethiopia.
Madonna is going to visit a village called Mphandula where she hopes to set up an education and feeding centre for children orphaned by the AIDS epidemic.
In Time magazine Madonna recently said she was planning to raise at least $3m (£1.6m) in support of the AIDS orphans in Malawi.