Robin Rumboll spoke in the wake of allegations that a pony was doped during a junior showjumping event in St Lawrence on Saturday.
It has been alleged that horses were fed a sedative which made some of them appear lethargic and not perform to their usual standard.
As soon as suspicions were raised at Saturday’s British Show Jumping Association showjumper of the year competition, a vet stopped the event for safety reasons.
Blood samples from the horses at the centre of the allegations have been handed over to the police.
A States police spokesman said that a person was due to be questioned this week about the allegations.
Mr Rumboll said: ‘Racing in Jersey is extremely well regulated, and at each race meeting we have a vet appointed who is authorised to carry out tests if there is any suspicion that a horse is performing not in accordance with its normal pattern.
‘If there is any reason to suspect that a horse is under the influence of any drug or anything else, the race day veterinary surgeon would be able to do a drug test.’