The singer, who reunited with Take That eight months ago, is said to be in talks to sign a deal with the group's record company Universal.
A source said: "Robbie's been very committed to this Take That project and can't wait to tour with the guys, but he never said he wouldn't record his own music again.
"It's important for him to have his own solo deal because he is one of the most successful British recording artists.
"Robbie's been very impressed with the way Universal have sold and promoted Progress, the latest Take That album. He thinks they'd be great for his career."
A close friend added that Williams is committed to the band until the end of the current album campaign but has "every major record company chasing him".