Former Yankees catcher Jorge Posada believes known steroid users, including Alex Rodriguez, do not belong in the Hall of Fame.

Posada, who is promoting his new book, "The Journey Home: My Life in Pinstripes," made his comments to CBS News correspondent Mark Strassmann on Wednesday's "CBS This Morning" show.

Strassmann asked Posada about players such as former teammates Roger Clemens and A-Rod, who eventually will be up for the Hall of Fame. Posada was then asked whether players who were known to have used steroids should be in the Hall of Fame.

"No," Posada said. "I don't think it's fair for the guys that have been in the Hall of Fame that played the game clean."

When asked specifically about A-Rod, Posada reiterated his feelings.

"I don't think it's fair. I really don't," Posada said. "I think the guys that need to be in the Hall of Fame need to be a player that played with no controversy."

In Clemens' three years of eligibility for the Hall, the 354-game winner has yet to receive more than 37.6 percent of the vote.

Posada said he has not told A-Rod his feelings but said Rodriguez would be surprised to hear them.

Posada also was asked if he resented players who didn't play clean and achieved records that he didn't get.

"The only thing that I can think is 2003," Posada said. "I was close to the MVP. Didn't happen. Alex won the MVP and I think second was either Carlos Delgado or David Ortiz. I don't remember. But you know, I was almost there. You know what could have happened if, you know it's tough. It's really tough."

Posada finished third in the voting that year with 194 points behind A-Rod (242) and Delgado (213).