After announcing resignation, he asked Ayaz Sadiq of PML-N to chair the proceedings, who is now conducting the proceedings.
A 15-point agenda of Friday's session issued by the Secretariat on Thursday night also includes the no-confidence motion.
Qureshi is the senior most functionary of the government to be infected with the virus.
As many as 174 members voted in favour of the motion in the 342-member House while members of the ruling Pakistan Tehreek-e-Insaf were absent during the voting.
Opposition lawmakers, who earlier appeared confident of the success of the no-trust move as they made their way to Parliament House, protested against the decision.
Khan, 69, was not present in the lower house at the time of voting. His party lawmakers staged a walkout.
Pakistan's Chief Justice Umar Ata Bandial on Thursday noted that National Assembly deputy speaker Qasim Suri's move to dismiss a no-confidence motion against embattled Prime Minister Imran Khan through a controversial ruling is, prima facie, a violation of article 95 of the constitution as the apex court heard the high-profile case for the fourth day.
Very few members of the treasury benches were seen in attendance.
Islamabad high court will hear the petition seeking to include the former Pakistan Minister Imran Khan in the exit control list (ECL) on Monday.
In a breakthrough that could end the political uncertainty in Pakistan, the Pakistan Muslim League-Nawaz and the Pakistan Peoples Party have agreed on a power-sharing deal to form a new coalition government after intense negotiations following a fractured poll verdict.
The Pakistan Parliament witnessed multiple adjournments and heated arguments, but the voting on a no-confidence motion against him appeared to be a distant possibility.
The Opposition parties need 172 members in the 342-member house to orchestrate the downfall of Prime Minister Khan.
The Pakistan National Assembly's crucial session on a no-trust motion against embattled Prime Minister Imran Khan was adjourned on Friday without tabling of the resolution, amid vociferous protests from opposition lawmakers.
Citing sources within the Federal Investigation Authority (FIA), the Geo News reported that the names of the PTI leaders and its party chief have been added for their involvement in the May 9 violence and desecration of martyrs' monuments.
Refuting the news of the resignation of Pakistan's Deputy Speaker Qasim Suri, the National Assembly Secretariat on Sunday clarified that Suri did not resign from his office, reported local media adding that he will chair the crucial National Assembly on Monday for the election of the new Prime Minister of Pakistan.
Pakistan's Opposition leader Shehbaz Sharif on Sunday nominated himself for the post of prime minister, while Imran Khan's party threatened to withdraw its lawmakers from Parliament if the former Punjab chief minister was allowed to contest the election for the top post on Monday.
As the people of Pakistan woke up to a new dawn on Sunday, the details of the gruelling and murky political activities in the preceding day and night have emerged, showing the country may have averted a damning showdown between ousted prime minister Imran Khan and the powerful Army.
Around 100 lawmakers from the Pakistan Muslim League-Nawaz and Pakistan Peoples' Party submitted the no-confidence motion before the National Assembly Secretariat on March 8, alleging that the Pakistan Tehreek-e-Insaaf government led by Khan was responsible for the economic crisis and the spiralling inflation in the country.
No prime minister in Pakistan's recent history has survived long in office after appointing an ISI chief who did not have the army chief's confidence. Imran may be no exception, observes Rana Banerji, who headed the Pakistan desk at the Research and Analysis Wing.
Khan's spokesman Dr Shehbaz Gill said that the prime minister has just a slight fever and cough.
Prime Minister Khan, who had effectively lost his majority in the 342-member National Assembly, made a brief address to the nation after a stormy parliament session was adjourned by Deputy Speaker Qasim Suri.
The newly-elected National Assembly, the lower house of Parliament, is meeting to elect the prime minister.