Hutchins, 28, was diagnosed with the form of cancer in December 2012.
He took a break from tennis to undergo treatment at London's Royal Marsden Hospital in London.
The Wimbledon-born player confirmed the remission via his official Twitter account.
"Was a big day today. Met my oncologist and I am now in remission. So grateful to fantastic Professor Cunningham and his team at Royal Marsden," he tweeted.
"Thank you to everyone for your constant, incredible support, I couldn't be where I am today if it wasn't for all of you, I really mean that!"
Hutchins has been eager to return to action sometime in 2013.
He and regular partner Colin Fleming enjoyed a banner year in 2012, reaching four doubles finals and winning two of them in Eastbourne and Delray Beach.
Fleming has been playing doubles with 2012 Wimbledon doubles champion Jonny Marray while Hutchins battled the illness.
Nearly 1,500 people are diagnosed with the white blood cell disease each year in the UK.
- Disease & Medical Conditions
- Royal Marsden Hospital