Dutch company De Boer has rented the RHS the current 12,000sq m exhibition space for 12 years to use as the Great Pavilion. The Delta System A-frame was made in Strasbourg by the Walter company.
Barr has a £58m contract to build the arena, which is currently having 12,000 seats fitted at the east London site.
A Barr representative said the RHS was the only British organisation to show interest in reusing the structure: "The basketball arena would be suitable for the RHS Chelsea Flower Show. It's fairly close to what they have at the moment and Chelsea is not far away from the Olympic site. Other interest has come from abroad, which has logistical implications.
"The organisers have expressed interest and we've had an initial chat but we've not got down to brass tacks. The idea was always to take the structure away for someone else to use - exhibitions such as the Chelsea Flower Show or as a sporting venue for Commonwealth Games or the World Cup even."
A Boer representative added: "This current contract is to deliver structures to the show for this and next year. We anticipate and would look forward to supplying structures well into the future, but at the moment it's in place for the two years."