Wallace asked Clemens if McNamee ever injected him with drugs, to which Clemens replied, "Lidocaine and B-12. It's for my joints, and B-12, I still take today."
Clemens said the charges were "ridiculous" and insisted he never used banned substances. After he made those statements, Wallace, who is a longtime friend, said, "Swear?" Clemens responded, "I swear."
Clemens is expected to hold a press conference in Houston Monday.
McNamee's lawyer, Richard Emery, has threatened to sue Clemens if he says McNamee is untruthful.
"I think that this is a lawyers' game, which allows him to try and attempt to say that McNamee didn't know what he was injecting or that at least Clemens didn't know what he was injecting," Emery told the Associated Press.
"It really depends now on how the whole interview goes, and whether he goes after Brian. Look, I don't care whether Clemens used Sodium Pentothal. I don't care if he used Strontium 90. My only concern is for Brian's well-being and his future."
Emery said a decision whether to sue won't be made until after the "60 Minutes" interview is broadcast.
McNamee also accused Clemens's teammate, friend, and workout partner, Andy Pettitte, of using human growth hormone. Pettitte initially denied the accusation, but admitted he took HGH twice in 2002 to recover from an elbow injury.
Pettitte's role is an interesting subplot. It's logical Wallace will ask Clemens about Pettitte's admission of guilt. It's logical Clemens will be asked why McNamee would tell the truth about Pettitte but lie about Clemens. It also will be interesting to see if Clemens reveals anything negative concerning his relationship with McNamee that might have led to a falling out.
According to McNamee's testimony in the Mitchell Report, Clemens began taking steroid injections after getting off to a 6-6 start with Toronto in 1998. Clemens won the Cy Young Award with the Blue Jays in 1997 but struggled a year later. He had a 3.22 ERA after beating Detroit June 3 to reach 6-6. Then he went on a 14-0 run to finish 20-6 with a 2.65 ERA.
McNamee stated in the report that Clemens supplied his own steroids.