The story was first reported by MLB Network.
Houston is looking for a new manager after Monday's firing of AJ Hinch in the wake of a sign-stealing scandal.
Baker, 70, last managed the Washington Nationals in 2017.
In 22 seasons, Baker has a 1,863-1,636 record that includes a National League pennant with the San Francisco Giants in 2002.
The Astros have already interviewed former managers Buck Showalter and John Gibbons and current Cubs third-base coach Will Venable.
Astros owner Jim Crane expects to hire a new manager by Feb. 3.
Olney: Mets, Red Sox, Astros will have no problem replacing managers
Buster Olney breaks down the potential managerial candidates for the Mets, Red Sox and Astros after the sign-stealing scandal fallout.