Both groups competed for hits in the mid-1990s but while Take That's 2005 reunion has resulted in two number one albums, East 17's comeback the following year dissolved after a single gig.
Mortimer told The Guardian: "The boys still tour as E-17, singing my old songs. I was angry with them for a long time, especially when we tried to reform and it didn't work out.
"Now I say good luck to them. I've got my own life, I've played good gigs recently, and I'm writing new music, which will be released next year."
He added: "It's hard seeing bands like Take That get big again, though, especially when they're releasing singles with bloody ukuleles all over them.
"We were a big deal in the 1990s. We made great records. It makes me sad that people don't remember."