Rescue crews in Chile will begin at midnight Tuesday -- and perhaps even earlier -- to free the 33 miners trapped for more than two months nearly half a mile below ground, Chile's mining minister said Monday. "We are hoping to initiate the rescue beginning at zero hours on Wednesday," or 11 p.m. ET Tuesday, Laurence Golborne told reporters outside the mine. Though it may come even sooner, he said, "We're going to take all the time necessary to assure that the plans are adequate." That decision was made after the rescue capsule, called Phoenix 1, was lowered overnight to 610 meters (about 2,000 feet), 12 meters short of where the men are trapped, he said. "It fit very well," he said. "Not even dust fell inside." Asked why the capsule was not lowered all the way into the mine, Golborne said, "We could not risk that somebody might jump in." The extraction cannot begin immediately because the concrete base built for the winch system must first harden, he said.All of the miners appear to be in good physical and emotional shape. "We are extraordinarily content," Minister of Health Jaime Manalich said. Earlier Monday, workers cheering "Viva Chile" completed the installation of steel tubing to reinforce the path that rescuers plan to use to hoist the trapped miners to the surface. About 56 meters of sheet metal has been put in place to line the tunnel, according to Andre Sougarret, the rescue leader. Plans for a longer tube were aborted after they were deemed not necessary, he said. Officials have said that the most technically adept miners will be the first to ascend the rescue shaft so that they can help with their own rescues should any problems arise. They will be followed by miners who have health concerns, such as diabetes or heart conditions. The miners judged to be emotionally strongest will go last. When he told the miners through video conference that they would have to choose their order of rescue, there was no shortage of volunteers to go last, Manalich said.