Rep. Stephen Lynch, who serves on the panel, said no players were expected to appear then. The Massachusetts Democrat said the committee was not ruling out the possibility of asking players to testify in the future if a "compelling reason" were to emerge.
"We haven't closed that door," he said.
Shays wants to focus on finding the best way to rid baseball of banned drugs. The Connecticut Republican said the sport's leadership deserves the brunt of the blame.
"Part of it is that Major League Baseball has been incredibly passive on this issue to the point of condoning it," he said. "And so, who do I think is mostly at fault? The Commissioner, frankly, for tolerating it and for not having the guts to step up and say we need changes and if you don't agree with me, then find someone else to run this corrupt process."
Mitchell has said Congress should give Major League Baseball a chance to implement his recommendations before taking independent action.
Rep. Bobby Rush, chairman of the subcommittee on commerce, trade and consumer protection, also has scheduled a hearing for Jan. 23. Mitchell and other MLB members are expected to appear.
"We need to take a good, hard, close look at this," Lynch said in a separate telephone interview with AP on Thursday.
Beyond the names included in Mitchell's report, Lynch said "many, many more" players were suspected of using banned drugs.
"We might poke at some of the areas where we thought there might be stronger evidence of wider use among players and try to explore their thoughts on that," Lynch said.
When the Government Reform panel held hearings in March 2005, five players were compelled by subpoena to tell the committee whether they had used steroids.
Mark McGwire, Sammy Sosa and Rafael Palmeiro were questioned during more than 11 hours of proceedings. McGwire previously denied using steroids but under oath repeatedly declined to respond directly. Sosa and Palmeiro said they hadn't. Palmeiro later was suspended by baseball for testing positive for steroids.
At the time, Selig said the extent of steroids in baseball had been blown out of proportion.