But Dr Bob Van Hegan, a consultant pathologist, disagrees with the paramedics' assessment.
He told Sky News that in addition to the wrist wound there were three further factors which could have contributed to the scientist's death.
Dr Van Hegan pointed out that Dr Kelly's coronary arteries were in a poor condition, he suffered from a vascular disease and he had taken an opiate drug.
Tom Mangold, a former BBC journalist and friend of Dr Kelly, said: "The fact that the paramedics did not find sufficient blood does not mean that it was not spilt.
"Although I am sure they are speaking in good faith there is no doubt in my mind, or anyone else connected with the case, that David committed suicide."