Bowie - who earlier this week announced that he will be releasing a new album in March - is said to have insisted that the tracks will never be performed live.
In an interview with NME, Visconti admitted that the star frequently shot down tour queries during the two-year recording process.
"He's fairly adamant he's never gonna perform live again," said Visconti.
"One of the guys would say, 'Boy, how are we gonna do all this live?' and David said, 'We're not'. He made a point of saying that all the time."
Yesterday (10 January), Bowie's guitarist Earl Slick revealed that the musicians involved in the LP's production "would like to go out and do some gigs".
'Where Are We Now?' - the lead single from The Next Day - is 66-year-old Bowie's first musical release in a decade. The song rose to the top of the download charts less than a day after its release on Tuesday (January 8).
The singer later thanked fans for their support on his official website and described the public reaction to the song as "incredible".
Watch the video for 'Where Are We Now?' below: