In the analysis, Dr Nathan Hodson, from the University of Leicester, and Dr Joshua Parker, from Manchester's Wythenshawe Hospital, argue that such a method falls into similar territory to organ donation.
"If it is morally acceptable that individuals can donate their tissues to relieve the suffering of others in 'life-enhancing transplants' for diseases, we see no reason this cannot be extended to other forms of suffering like infertility," they said.
However, it could raise questions about consent and family veto, and there are concerns about the integrity surrounding the anonymity of the donor, they added.
In 2014, a national sperm bank serving the UK opened in Birmingham with a government grant of £77,000.
Former donor Jeffrey Ingold, from London, told the BBC that he believes that allowing donations after death could persuade more men to consider becoming donors.
"I do not see how introducing a system that makes sperm donation similar to organ donation could be anything other than a good thing," he said. "For me, donating sperm was never about my own genes or anything like that, but it was about helping friends in need.
"I also think that having this kind of process might go some way in challenging the stigma or preconceived ideas society has about sperm donation."
He added: "If people knew more about the process and were able to make more informed decisions about whether to become a sperm donor, I think we'd see a lot more people opting in to doing so."
However, Prof Allan Pacey, professor of andrology at the University of Sheffield, argued it would be a "step backward" in the donation process.
"I'd much rather that we invested our energy in trying to recruit younger, healthy, willing donors who stand a good chance of being alive when the donor-conceived person starts to become curious about them, and would have the opportunity to make contact with them without the aid of a spiritualist."