The announcement was made after the Palestinian leader, Mahmoud Abbas, held his first talks with Islamic militant group since its shock election victory last week.
They agreed to convene parliament on February 16, as a first step toward forming a new government.
"We are starting the process and we are sure that within February we will be able to see a new government," said Hamas leader Mahmoud al-Zahar.
Abbas did not formally ask Hamas to put together a cabinet.
But Hamas officials were convinced they would be chosen, as their party won a decisive 74 seats in the 132-member legislature, trouncing Abbas's long-dominant Fatah movement.
"We say because Hamas is the biggest parliament bloc, definitely Hamas will be asked to form a government," said Ismail Haniyeh, who also attended the meeting with Abbas.
Abbas spokesman Nabil Abu Rudainah confirmed that Hamas, as the biggest bloc in parliament, would be chosen to head a new government once Hamas nominated a candidate to be prime minister.
Haniyeh also said Hamas would seek to "speed up formation of the coming government to avoid any constitutional vacuum".
Abbas made no comment after the 90-minute talks.
Hamas's charter to destroy Israel could prove an obstacle, as Abbas has said he would expect any Palestinian government to respect interim peace deals with Israel.
The United States and European Union have said that a Hamas-led
Palestinian Authority would risk losing crucial foreign aid unless the group disarmed and recognised Israel.
In his remarks after meeting with Abbas, Al-Zahar reiterated: "We will not negotiate with Israel under any conditions."
Meanwhile, three members of the al Aqsa Martyrs Brigades, the armed wing of Abbas's Fatah Party, have been killed in an Israeli air strike on car in Gaza City.
Witnesses say they were fleeing a building hit by missiles fired from a helicopter when a missile destroyed their car.
An Israeli military spokesman has confirmed the raid.