The change in stance came after the British government relented and allowed 12-year-old Billy Caldwell to receive cannabis oil treatment that his mother said was needed to prevent life-threatening seizures.
As debate intensified in the UK, Canada paved the way for recreational cannabis to be legal in the coming months.
It has said it will now look into possible changes on the use of cannabis-based medicines.
The UK government is to review the use of medicinal cannabis, home secretary Sajid Javid has announced in the House of Commons.
In a Telegraph article, Lord Hague said the case of Billy Caldwell had shown the law around cannabis to be "inappropriate, ineffective and utterly out of date".
Some US states including California and Alaska also permit the possession and sale of cannabis for recreational use. After the meeting, the ministers announced a panel to consider the use of medical cannabis on a case-by-case basis, a walking back of Hunt's promise. The country already allows marijuana for medical purposes.
The latter is linked to easing anxiety as well as epileptic seizures, which could be life-saving for children with a severe form of epilepsy.
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"Removing cannabis from schedule 1 would facilitate the treatment of many more young people experiencing debilitating symptoms like Billy", he said.
She said: "Today, a few moments ago in the House of Commons, the Government commissioned a full review of medicinal cannabis". While Caldwell said they'd "achieved the impossible" in regards to the medication's return, she emphasized that the fight was far from over.
"There will be many other people in the United Kingdom with severe epilepsy who are likely to benefit from medical cannabis and provision must be made to stop them suffering brain damage and death from cannabis-treatable seizures", he said. There is strong scientific evidence that cannabis can harm people's mental and physical health and damage communities. Aside from any moral arguments, it is clear that the current attempts to prevent cannabis use are an enormous burden on taxpayers that mean their money isn't spent on other priorities.
The issues now confronting United Kingdom lawmakers have already prompted policy changes elsewhere in the world.
This will make Canada only the second country in the world to fully legalise marijuana, after Uruguay took the step in 2014.
Charlotte Caldwell from Castlederg last night also confirmed that she has been asked to sit on a parliamentary advisory panel to "represent all the father and mothers nursing children" with "status epilepticus", the most unsafe form of the condition.
Australia, Germany and Ireland have all legalized medicinal marijuana, while other European nations such as Portugal and the Netherlands have decriminalized personal possession of marijuana.