Peaches Geldof was planning to open a vintage clothes shop with her husband Thomas Cohen before her death.
The couple, who married in 2012, were considering starting up a business in London after their financial income allegedly began to plummet following the break-up of Cohen's band S.C.U.M last year.
"Thomas was really determined because he knew financially things were a bit of a struggle at home and he wanted to show Peaches he could contribute to their family budget. Peaches really encouraged him and wanted to be part of the business," a source told the Daily Mail newspaper.
However, Cohen, 23, is determined to continue building the business following the death of Geldof last month because he needs something to take his mind off his grief.
"Now that she's [Peaches is] gone Thomas' family and friends have been encouraging him to keep the dream alive and continue going for it," the source explained.
"Thomas' older sister Holly is involved with the plans and she and Thomas are looking at opening a shop in London. They still need to find the right location for it."
As well as juggling a potential new shop, Cohen has also become the sole carer of the couple's sons Astala, two and Phaedra, one, following their mother's passing.
The former musician was left heartbroken after he discovered his wife's lifeless body "slumped" across the bed at their home in Wrotham, Kent, on April 7.
An inquest heard last week that heroin was "likely" to have played a role in the blonde beauty's death.
However, police have since released a statement insisting Cohen is not under suspicion of involvement in her death.