The new President will have a mandate to serve out the rest of Rajapaksa's term, which ends in November 2024.
India has time and again proved to be a true friend of Sri Lankan people in their need, the minister said.
He also referred to India's financial aid to help the island country deal with its severe economic crisis.
President Rajapaksa was not present in the presidential House when a mob stormed the building on Saturday.
Angered by the attack, the protesters had set fire to the house of Wickremesinghe who had left it with his wife.
The 53-year-old Jayasuriya said he always stands with the people of Sri Lanka adding that the people will celebrate victory soon.
So as to ensure the safety of the citizens, the prime minister said he is agreeable to this recommendation by the Opposition party leaders.
According to sources, the President had been moved out of his residence on Friday, in anticipation of Saturday's protests.
According to the Prime Minister's Office, the premier also has requested the Speaker to summon Parliament in an effort to find a solution to the crisis.
The event saw participation of the Governor of the Central Bank of Sri Lanka Nandalal Weerasinghe, senior officials, representatives from various businesses and industries.
A total of close to 400,000 MT of various types of fuel have been delivered with Indian assistance in March and April.
There has been an intense call for President Gotabaya Rajapaksa to also resign however, he has refused to do so.
The hike came as the public continues to suffer in long queues at fuel stations hit by shortages.
India on Saturday provided another 40,000 metric tonnes of diesel to Sri Lanka under the credit line facility.
"160 million dollars has been received from the World Bank and a grant from the ADB (Asian Development Bank) is also expected," Wickremesinghe said.
The whereabouts of Mahinda Rajapaksa has been speculated since his resignation on Monday. It was reported that Mahinda had left his office-cum-official residence, Temple Trees.
Reports have also revealed that Rajapaksa's second son, Yositha, who was also the former Prime Minister's Secretary, and his family had left the country on Monday.
The resignation of the prime minister has automatically annulled the Cabinet and the country is currently being run by his younger brother and President Gotabaya Rajapaksa.
On Monday night, anti-government protesters surrounded the Prime Minister's official residence in Colombo, Temple Trees, and tried to enter it. Later, they burnt vehicles parked outside the house.
Mahinda Rajapaksa turned in his resignation to his brother, President Gotabaya Rajapaksa, as the nation was rocked by clashes between the supporters of the Rajapaksa family and its opponents, and by police attempts to contain the protests.
Sajith Premadasa Opposition leader and leader of the Samagi Jana Balawegaya or United People's Force handed over two motions to the Speaker Mahinda Yapa Abeywardena who is to announce their future cause in Parliament on Wednesday.
In the past three years, the group that faced the most serious challenges in Sri Lanka is the working class, and the day-to-day challenges they face are even more intense today, Xinhua news agency quoted President Gotabaya Rajapaksa as saying.
With the overarching aim of providing critical medical aid to Sri Lanka during the ongoing crisis, INS Gharial, as part of Mission SAGAR IX, reached Colombo on Friday to deliver the consignment of medicines.
Tamil Nadu Coastal police received tips that some Sri Lankan refugees have landed at the mount near Rameswaram and that they were dropped off there by a fishing boat.
The State government here has also a populist tooth. The budgets over the years had announced a litany of populist schemes.
As anti-government protests spread defying curfew and social media ban on April 3, the former cabinet with 26-ministers en masse resigned from their positions.
People have been facing hardships since last year when the prices of fuel began to go up, scheduled power cuts were announced by the government and the prices of good began inching up.
Nandalal Weerasinghe was appointed as the governor of the central bank of Sri Lanka, following the resignation of Ajith Nivard Cabraal earlier this week, reports Xinhua news agency.
Accordingly, on April 3-4, all of Sri Lanka's cabinet, with the exception of President Gotabaya Rajapaksa and Prime Minister Mahinda Rajapaksa, tendered their resignations, along with the governor of the central bank.
Two major newspapers -- The Island, and its sister Sinhala publication Divayina announced suspension of their print publication due to the rising newsprint cost.
Local media reports quoting some local banks said the selling rate of one $1 had reached 310 LKR, while some banks were selling at 312 LR, reports Xinhua news agency.
TNA MP M.A. Sumanthiran told IANS that President Rajapaksa must listen to the people and leave his post. "People are demanding him to leave not to form a cabinet with the opposition parties," he said.
The two brothers on Sunday met several political allies who demanded the removal of their younger brother and Finance Minister Basil Rajapasa who is blamed for current economic crisis.
"The curfew is illegal. There is no emergency situation to impose curfew. Do your duty to the people but not to one family," Premadasa told police and military who blocked him.
Fully or partially impacted social media and messaging platforms include Facebook, Twitter, YouTube, Instagram, TokTok, Snapchat, WhatsApp, Viber, Telegram, and Facebook Messenger, it said.
A statement issued by the presidential media division on Friday said an extremist group was behind the unrest near President Rajapaksa's residence in Mirihana, the Daily Mirror news website reported.
According to the police, in the protest several, including five policemen, were injured while vehicles were set on fire as a spontaneous expression of public anger over the current economic crisis turned violent.