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Tom, 32, revealed he was battling terminal brain cancer last year, after he was diagnosed with stage 4 glioblastoma.
While the diagnosis and the subsequent treatment has been difficult for the star and his family, Max has now spoken about how "proud" he is of his friend.
Speaking on the Dangerous Dinners podcast, former Strictly Come Dancing star Max, 32, said: "Tom's got something called glioblastoma, which is quite an aggressive form of brain tumour, but he's had his first bout of chemo and radio therapy, which he has responded to unbelievably.
"Doctors were actually shocked by how well he's responded - all of his tumours have been suppressed, so he's in the best hands."
Both Tom and Max were in boyband The Wanted, which formed in 2009. The five-piece, which released five albums, decided to disband in 2015.
Max revealed that he found out about Tom's diagnosis when Tom's wife, Kelsey, rang him while he was filming.
"It took me weeks to process but I just wanted to see him. Luckily, I only had two days left so within three days of finding out I was with him.
"You just want to be there, I could not believe what I was being told but as soon as I saw him it's like it changes; you're here to help him and be there for him and keep his spirits up so he can get better."
Tom, who is dad to Aurelia, two, and four-month-old Bodhi, is keen to keep fighting cancer in order to be there for his children.
It's something Max echoed, adding: "In himself, Tom... Nothing puts Tom down, nothing. When you talk to him it's like everything's normal, and he just wants that - he wants normality.
"He's just had his second child, so he's got so much to focus on - he's doing great, he's doing really well.
"Tom will be fine, it's a horrible thing to happen to anyone and I can't think of anyone who deserves it less than Tom, but he's dealing with it. And I'm really proud of him for how he's dealing with it."
Tom recently updated fans on his health, telling his Instagram followers in January that there had been a "significant reduction" in the size of his tumour.
"I had an MRI scan on Tuesday and my results today were a significant reduction to the tumour and I am responding well to treatment. Everyday I'm keeping on the fight to shrink this b*****d!" he said.
"To everyone on here- your love, light and positivity have inspired me. Every message has not been unnoticed they have given me so much strength. This journey is a rollercoaster that's for sure. Today is a f*****g good day."