The party's election authority has said it will stick to the schedule of electing a new chief by 20 September.
Gehlot said that considering the sentiments of Congress workers across the country, Rahul Gandhi should accept the role.
“If Rahul Gandhi does not become the party president, it will be a disappointment for the Congressmen in the country. Many people will sit at home and we will suffer. He (Rahul Gandhi) should accept this post by himself, understanding the sentiments of the common Congress people in the country," Gehlot told reporters in Jaipur.
The chief minister said even within the party, there is an opinion in favour of making Rahul Gandhi the new president.
"The unanimous opinion is in support of his becoming the president. So, I think he should accept it. It is not about Gandhi or non-Gandhi family. It is the work of the organisation and no one is becoming a prime minister," he said.
"In the last 32 years, no person from Gandhi family became the prime minister, Union minister or chief minister. Then why Modi ji is afraid of this family. Why does Delhi Chief Minister Arvind Kejriwal have to say that nothing happened in 75 years in the country. Why is everyone attacking the Congress?" "Because the DNA of the Congress party and the country is the same before Independence and after Independence. Congress is the party that takes all religions and classes along," the Rajasthan CM said.
'Congress Has Kept Democracy Alive': Gehlot
Gehlot said that Congress has kept democracy alive in the country in the last 75 years, due to which today Narendra Modi is the Prime Minister of the country and Kejriwal is the Chief Minister of Delhi.
"In 75 years, Congress kept democracy alive in the country. This is a gift of Congress to the country," he said.
The chief minister exuded confidence that the party would once again win the state assembly elections to be held next year.
"We will win the next assembly elections, and then the 2024 Lok Sabha polls. This time it is not an easy game for PM Modi. The way Nitish Kumar has given a blow to the BJP in Bihar and the Congress has cornered the central government through protests led by Rahul Gandhi on the issue of inflation and unemployment, the Modi government has shaken," Gehlot said.
Meanwhile, a meeting of the Rajasthan Congress Working Committee was held in Jaipur on Monday. During the meet, preparations for 'Halla Bol Maha rally' to be organized at Ramlila Maidan in Delhi on 4 September by the All India Congress Committee against rising inflation and unemployment in the country were discussed.
“The meeting discussed how to make the rally a success. For this, further meetings will be held at the district level on 25 August and assembly-wise on 27 August. We have a target to take more than 50,000 workers from the state to Delhi rally," said Rajasthan Congress chief Govind Singh Dotasra who chaired the meeting.