The home, which was featured in Vogue magazine, was listed through TRG last spring for $6 million.
It was listed after a $1.9 million renovation in 2019 after being purchased for $3.4 million.
They asked Tamsin Johnson to execute their European-inspired vision for the house.
Morris is a founding partner of OC & C Strategic Consulting's Australian practice, while Jessica is head of soft furnishings and media marketing at Amazon Australia.
They now have another unrefurbished Victoria Street Terrace project costing $5.71 million.
It is directly opposite the sold residence.
Architects Luigi Rosselli and Johnson have been commissioned to carry out the renovation.
The property had been traded in 1979 for $114,000.
For a brief period it was known as the headquarters of Toast Media, the high flyers of the dot com boom, when it was the plaything of international entrepreneur Matthew Howison.
Victoria Street's latest listing is the former gallery space of the late art dealer Frank McDonald.
There were five bidders at the 2002 auction, with the buyer living further down Victoria Street.
The split-level duplex terrace was bought back in 1973 for $80,000 and MacDonald sold the lower part for $125,000 in 1983.
It was offered for sale in one line.