Schottenheimer didn't elaborate on the meeting, according to the report, but he called it "very positive."
"I really enjoyed the dialogue, and we all agreed that we would speak again in the near future," Schottenheimer said.
Childress also declined to offer details of the interview.
NFL Network insider Jason La Canfora has reported Sherman is well-positioned as the favorite for the position.
It's possible Childress could surface as an offensive coordinator for the Bucs, according to La Canfora. As he engages in talks with the team, one thing that is clear is Childress is a believer in young quarterback Josh Freeman.
"They have a good, young football team," Childress told The Times on Tuesday. "I liked Josh when he came out of college. You know, if you don't have (a quarterback), you're always looking for one, and I believe he can be that guy and I like him a lot."
If he finds a spot in Tampa, Childress could play a big part in grooming Freeman, a former first-round draft pick who regressed in 2011 after a promising second NFL season.