Parliamentary Speaker Andreas Norlen said at a news conference on Monday that he was proposing Lofven for the job again and that a vote would be held on Wednesday.
Lofven said he had again been able to form a coalition government.
The Social Democrat's minority government was toppled by a vote of no confidence in parliament a fortnight ago over a dispute about Sweden's rental market with a left-wing party.
Lofven then had one week to resign or call new elections. Last Monday he submitted his resignation and a search for a new government began.
Ulf Kristersson, leader of the Moderate Party, had a first attempt at forming a government but gave up before a deadline. Lofven was then next in line.