Take That's Gary Barlow has said there will be "no place" for ex-member Robbie Williams in the group in future.
The band have embarked on the UK leg of their tour
"I think, when it comes down to it, he's just not going to be in the band again," the 36-year-old musician told The Big Issue magazine.
Group member Mark Owen said that when the act reformed after a 10-year gap, Williams was invited to join in, but he decided to "walk his dog" instead.
Until recently, the foursome had left the way clear for the star to return.
They had said the door was "always open".
While the group have enjoyed renewed success since they reformed in 2005, with chart-topping singles, a new album and sell-out live tour, Williams' fortunes have waned.
His most recent album Rudebox was panned by critics, and its lead single peaked at only number four.
Robbie Williams has not had a top 10 hit for a year
The singer had previously enjoyed a string of chart-topping releases.
He failed to make any impact at the Brit Awards earlier this year, while Take That won best single for their comeback song Patience.
Williams quit Take That in 1995 to embark upon a solo career, amid reports that his relationship with Barlow was strained.