The teenager, who was one of four singers eliminated from the BBC contest this weekend, has denied rumours of a romance with fellow hopeful Becky Hill, but spoke openly about his fondness for the coach.
Asked if he fancied Jessie J, Josh replied: "Oh yeah. Who doesn't? I definitely would."
However, Josh clarified that he does not regret picking Danny O'Donoghue to be his coach over the 'Domino' singer.
"I'd still choose Danny, of course I'd still choose Danny," he told OK. "Each coach has their strengths and I think Danny's strength is his connection with his artists.
"He can talk to you about anything... I think everyone in our team can say we all love Danny."
Josh previously claimed that only about 100 of his 72,000 Twitter followers are male.
"It's nice to have female attention," he told The Sun. "Sometimes they don't even care about my singing. It's nice they think fondly of me. Very fondly sometimes."
The Voice UK semi final begins this Saturday (May 26) at 6.30pm on BBC One.
Watch Aleks Josh and the rest of Team Danny talk to Digital Spy below: