Hannahan, who last played in Thursday's series-opening loss to the Rangers, sat out three games nursing a sore left hamstring.
"It's feeling a ton better than it did," Hannahan said. "It's doing good, doing well."
Neither Hannahan or Tribe skipper Manny Acta have serious concerns about Hannahan's hamstring.
Meanwhile, reliever Vinnie Pestano -- who left Saturday's loss to Texas with tightness in his back and did not play Sunday -- is available from the bullpen for Monday's tilt with the Twins.
"I'm anticipating that Vinnie's going to pitch today," Acta said. "He was pretty much ready to go yesterday."