Retail manager Guy Pullen said the move would enable the exclusive garden centre to sell "all the products we want to sell".
The 105sq m former glasshouse that housed Daylesford's food business will now house gardening ancillaries, furniture and half-hardy plants. A further space opened as a new café last week.
Daylesford, founded by JCB chairman Sir Anthony Bamford's wife Lady Bamford, also recently shut its butcher's in Pimlico Green, London.
Daylesford has a garden shop in Chelsea and four more London outlets as well as a farm shop in Gloucestershire.
Clifton shares plant buyer Len Bellis with Waddesdon Manor Plant Centre in Buckinghamshire.