Tickets went on sale on Tuesday, with organisers delighted at the overwhelming early response shown by Australian cricket fans.
"To sell almost 20,000 tickets in half a day is a fantastic result and augurs well for creating a strong atmosphere at the fund-raising game on Monday," International Cricket Council chief executive Malcolm Speed said in a statement.
"It is a tremendous reflection of the strength of the international cricket community - fans and organisers - to come together to support the Tsunami Appeal."
The match has been arranged at short notice between a Rest of the World XI and an Asian XI at the 80,000-capacity MCG with all proceeds going to the relief fund.
The confirmed death toll from the massive earthquake and tsunami that hit Indian Ocean shorelines a week ago neared 146,000, with 52 countries reporting that their nationals were among the dead or injured.