In an interview before her death, Geldof was upbeat about her future, including a secret TV project she was working on.
It is believed she planned to move to Australia for three months for the job.
Speaking to Britain's Sunday Times newspaper, in her final interview, Geldof said: "I can't say what it is yet but I will be there for three months."
She added: "Of course the babies will come with me because obviously I won't leave them for that long."
In the wake of Dawson's death, management at TV company Foxtel decided to delay production of a new season of Australia's Next Top Model for a few months to give colleagues and friends time to grieve.
Foxtel director of television Brian Walsh confirmed preliminary discussions had taken place about Dawson's replacement.
"Peaches was one of a number of names suggested but we took the decision that it was too soon to make any calls," he said.
A private funeral for Geldof will be held tomorrow at the Kent church where she was married, her family has said.
It is also the same church where the funeral was held for her mother Paula Yates in 2000.
Where to get help
• Lifeline: 0800 543 354 (available 24/7)
• Suicide Crisis Helpline: 0508 828 865 (0508 TAUTOKO) (available 24/7)
• Youth services: (06) 3555 906
• Youthline: 0800 376 633
• Kidsline: 0800 543 754 (4pm to 6pm weekdays)
• Whatsup: 0800 942 8787 (noon to midnight)
• Depression helpline: 0800 111 757 (available 24/7)
• Rainbow Youth: (09) 376 4155
• CASPER Suicide Prevention
If it is an emergency and you feel like you or someone else is at risk, call 111.