He led Argentina to the 2010 World Cup quarter-finals in South Africa and the
contract would mean he would be still be coach if they qualify next time.
The Argentine Football Association president Julio Grondona will meet the
49-year-old next week.
Maradona had hinted he would quit after the 4-0 last-eight defeat by Germany.
Grondona intends to have talks with Argentina's former World Cup-winning
captain no later than Wednesday of next week to discuss extending his contract.
Despite leading Argentina to victory at the 1986 finals in Mexico as a
player, Maradona was a controversial appointment as coach in 2008.
Maverick Maradona's sideline
exploits
He had little coaching experience and had endured a host of personal problems
following his retirement.
However, Maradona guided Argentina to the recent World Cup finals after a
late winning goal in their final qualification match against Uruguay.
In South Africa, Argentina looked like convincing contenders for the trophy,
comfortably winning their first three group matches and their last-16 clash with
Mexico.
But the well-organised German outfit negated Argentina's array of attacking
talent, including Barcelona star Lionel Messi, Real Madrid striker Gonzalo
Higuain and Manchester City's Carlos Tevez, before ruthlessly highlighting the
defensive frailties of Maradona's side.
"I may leave tomorrow," was Maradona's immediate response to the exit from
the tournament.
But he added: "We will see what happens. I haven't thought about leaving. I
have to check that with my family and the players and there are things I have to
consider."
Highlights - Argentina 0-4 Germany