Axel Rudakubana has seen his jail restrictions "relaxed" and is now "able to make daily phone calls" as well as mixing with other inmates and enjoying regular exercise.
Rudakubana, 19, is currently serving a 52-year sentence in HMP Belmarsh in South London for the murder of three young girls.
Earlier this month, a prison guard was taken to the hospital after the teenager threw boiling water over him from the kettle he had in his cell.
According to The Sun, Rudakubana had been kept in solitary confinement following the attack, but now finds his restrictions relaxed - which could mean he gets access to his own kettle once more.
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He is also said to have a TV and reads Harry Potter books to pass the time.
One source told The Sun: "Rudakubana is now allowed out more and not under such heavy escort.
"It doesn’t matter what prisoners have done, reviews have to be carried out, and they have to be judged on recent behaviour.
"It is astonishing really and the public would be shocked.
The parents of Axel Rudakubana could yet face criminal charges | PA"He has a TV and DVD player in his cell and makes regular calls, including to his parents."
He is also visited by a regular imam, who "teaches him the real meaning of Islam".
"He talks to him about rejecting violence and is trying to de-radicalise him," the source added.
An inquiry into Rudakubana’s Southport attack heard counter-terrorism monitors missed chances to stop him because he lacked a "fixed ideology".
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Axel Rudakubana is in HMP Belmarsh alongside Sir David Amess's murderer Ali Harbi Ali and Manchester Arena bomb plotter Hashem Abedi
| GETTYTriple child murderer Rudakubana was jailed earlier this year for his attacks in Southport last July.
Alice Da Silva Aguiar, nine, Elsie Dot Stancombe, seven, and Bebe King, six, died at the Taylor Swift-themed dance class.
Rudakubana was 17 at the time of the massacre.
The teenager pleaded guilty to the murder of the three young girls in January this year, with Justice Goose concluding that it is highly likely he will never be released.
Alice, Bebe and Elsie (left to right) | MERSEYSIDE POLICEHis minimum custodial sentence ranks among the longest on record and is believed to be the harshest penalty ever imposed on someone his age.
Despite this, a review into counter-terrorism programme Prevent said there was sufficient evidence to consider Rudakubana a terror threat prior to the attacks.
He had been referred to the counter-terrorism-led scheme on three occasions in the years before the murders.
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