Antony, who is preparing to go on the 'The Big Reunion Boy Band Tour' later this year, has given his full support to Lee, who was arrested for alleged drink driving last week.
Speaking at the Big Reunion press day on Wednesday (23 March), Antony said: "We're not frustrated at all with Lee. We're still very much together as a band and we're still doing gigs."
Antony assured fans that Lee - who received death threats after appearing on the latest series of Celebrity Big Brother - will definitely be on the tour.
"Lee is cool. He just needs some time to get his head together and he'll be fine," said Antony. "He's definitely coming on tour with us, so we're still definitely going to be a four-piece."
Following Lee's arrest on 11 April, the singer's official spokesperson said in a statement: "I can confirm that Lee was arrested in the early hours of Friday morning. He was arrested on suspicion of drink driving and is awaiting a court date.
"He was charged with failure to provide a specimen and criminal damage. A controlled substance was found in his possession.
"This low point has caused considerable concern to Lee's family, loved ones, and of course the Blue boys... No excuses will be made on Lee's behalf, but he will be seeking professional help for those issues that he has been unable to overcome on his own."
Blue member Simon Webbe has also publicly shown his support for Lee, tweeting last week: "On the outside you see one thing but deep down your sinking! @LeeRyanMusic WE WILL GET THROUGH THIS OUR FANS KNOW YOU! Stay strong brother."
In October, Blue will be joining 5ive, 911, Damage, A1, 3T and 5th Story for the ultimate boy band tour.
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Watch the music video for Blue's 'All Rise' below: