Hugo Chavez, 58, died of cancer in a military hospital in Caracas on Tuesday.
Pilot has already left for Venezuela, officials said.
Chavez was in power for 14 years. He was re-elected to a third six-year term in October 2012, but could not be sworn in as scheduled Jan 10 due to his serious health problems.
Prime Minister Manmohan Singh had condoled his death and said Venezuela has lost a charismatic and immensely popular leader who leaves a legacy of striving for social justice.