London
The singer and his wife Kelsey welcomed Bodhi Thomas Paris Parker last month, reports metro.co.uk.
"It's been a whirlwind the last few weeks. It's been hard because I've not been able to be involved as much. But hopefully in a couple of weeks when the treatment's ended I'll be able to be a bit more hands-on, which I'm looking forward to," said Parker.
"It's been tough, not being as involved as I would like," he added.
Kelsey added that he is "around and at home", but explained: "His job at the moment is to go and have his treatment, and some dads have to go back to work straight away anyway."
The couple also have 15-month-old daughter, Aurelia.
Parker has stage four glioblastoma, an aggressive tumour, and is undergoing treatment.
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