Only 33% would opt for the service if it was offered.
The majority of online shoppers in the UK are concerned about the introduction of drone deliveries, which they think will result in an increased risk of parcels being left unattended and open to damage.
A survey of 2,040 online shoppers found that 49% believe drone deliveries will never happen, while 35% were unsure.
33% said they would opt for the drone delivery service, of which 68% cited the main benefit would be faster delivery.
Smaller, low-cost goods were considered to be the best suited for drone delivery, such as books, CDs and DVD, clothing and footwear items.
Just 17% believe they will see drone deliveries introduced in the UK in the near future, with left packages cited as the biggest disadvantage of the service for 47% consumers.
According to the survey by eDigitalResearch, 39% believe that the technology is not reliable and will deal with parcels of only a certain size.
Amazon revealed late last year that it is searching for an engineer to start trial flights in the UK for its Prime Air initiative drone delivery service.
eDigitalResearch joint CEO Chris Russell said: "Whether drone deliveries ever come to fruition in this country is yet to be seen.
"Amazon continue to surge forward with their Prime Air scheme and if they’re able to get it off the ground, could revolutionise the delivery and fulfilment sector."
Earlier this year, the House of Lords has called for the creation of an online database for drones in Europe, in order to track and manage drone traffic.
The House of Lords EU Internal Market, Infrastructure and Employment Sub-Committee, which is scrutinising the European Commission’s proposals for drones, said that the commercial drone operators can register their drones in the online database.