The company has offered the packages to 1,650 eligible employees, although it expects around one quarter or just over 6% of its workforce to take the buyout, one of the people said.
Two of the sources briefed on the matter said that the early retirement program had been communicated to staff who are eligible. Reuters could not ascertain how many people had so far taken the buyout.
"As is common in many American companies, Freddie Mac is offering employees who meet certain age and tenure requirements a voluntary opportunity to retire early. As we prepare for our next chapter, we anticipate this will help realign our workforce to create a company attractive to outside investors as well as current and future employees," a spokesman for Freddie Mac said in an email statement.
Freddie and its fellow government-sponsored enterprise Fannie Mae were bailed out in 2008 during the subprime mortgage crisis. In September, the Trump administration, led by the US Treasury Department, unveiled a long-awaited blueprint to remove the pair - which guarantee over half of the nation's mortgages - from government control in coming years.
In the meantime, the Treasury and the regulator for Fannie and Freddie, the Federal Housing Finance Agency (FHFA), have called for the pair to shrink their business footprint, review their operations, and rebuild their capital reserves.
A spokesman for FHFA declined to comment on Freddie Mac's staffing plans.
"The mortgage finance reform conversation has moved away from Congress and is squarely entrenched in the administrative sphere," Isaac Boltansky, director of policy research at Washington-based Compass Point Research & Trading, wrote in a note on general housing finance reform on Wednesday.
Freddie Mac has discussed its strategy, including potentially cutting headcount, with outside consulting firms, according to a fifth person involved in those discussions.
The company's staffing levels have grown by around a third during its conservatorship, under which the majority of its profits, until recently, have been passed to the Treasury.
As of February 2019, Freddie Mac had 6,600 full-time and 42 part-time employees, compared with 4,927 full-time and 85 part-time employees in March 2009, according to regulatory filings.
In October, Mark Calabria, director of the FHFA, told reporters that he had asked Fannie and Freddie to come up with a plan to boost their return on equity, adding the pair "can definitely cut expenses," without specifying how.