The broadcaster has been away from the NBC program since her 84-year-old mother Nancy Guthrie vanished from her Arizona home in January.
Police believe she was kidnapped overnight and have surveillance footage of a masked man at her door.
According to sources cited by Page Six, Guthrie is hoping to resume hosting duties after her children's spring break, with most schools in New York returning by April 10.
"A source tells Page Six that while plans may change as her mother's case develops, the host is hoping to return to the Today show after her children's spring break," the outlet said.
During her time away, Guthrie has been focusing on her family - her husband Michael Feldman and their two children, Vale and Charley - while developments in the investigation and her own circumstances remain ongoing.
Speaking during a visit to colleagues at the Today show's studio in the Rockefeller Center on March 5, Guthrie said: "I wanted you to know that I'm still standing, and I still have hope, and I'm still me."
"And I don't know what version of me that will be, but it will be."
Guthrie also addressed her return to work.
"I have every intention of coming back. I don't know how to come back, but I don't know how not to. You're my family. And I would like to try," she said.
Hoda Kotb has been filling in during Guthrie's absence.
"There is no announcement regarding Savannah's return date, and Hoda will remain filling in for her," a source close to the Today show told Page Six.
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