Los Angeles (CNN) -- Bryan Stow, the San Francisco Giants fan who was severely beaten outside Los Angeles' Dodger Stadium in late March, is set to be transferred Monday from Los Angeles to a San Francisco hospital, his physicians said Sunday.
Stow, 42, was taken out of a medically induced coma about a week ago, and has since shown signs of some cognitive function, Dr. Gabriel Zada said, including opening his eyes several times over the past week.
"Eye opening is a sign of higher cognitive function," Zada said, noting that Stow has done so in response to either verbal or physical stimulation.
Stow also has "some movement" in his arms and legs, Zada said.
The doctor cautioned, however, that Stow still has a long road of recovery ahead of him "that will require very intensive medical care."
Still, Stow's condition has stabilized enough to transfer him Monday from Los Angeles County-University of Southern California Medical Center to San Francisco General and Trauma Center, which is closer to his home, Zada said.
Authorities said Stow suffered severe head injuries in an unprovoked beating in a parking lot outside Dodger Stadium after a March 31 Dodgers-Giants baseball game, the season opener for both teams.
Two men approached him in the parking lot and began kicking and punching him while yelling profanities about the Giants, police said.
The attackers fled in a light-colored sedan driven by a woman with a young boy inside, authorities said. Police released composite sketches of the men, who they said were 18 to 25 years old. Officials are offering a $100,000 reward for information leading to arrests and convictions.
A "major" police news conference is planned for Tuesday when authorities will release details about persons of interest who have been detained over the course of the investigation, Capt. Bill Murphy of the Los Angeles Police Department said Sunday, adding that no one is in police custody at this time.
"Sometimes, you catch the criminal right away and sometimes it's just a lot of hard work, chasing down lead after lead," Murphy said.
Stow, a father of two, is a paramedic who traveled from Santa Cruz, California, to make his first-ever visit to Dodgers Stadium. He went to the game with friends in celebration of the Giants' World Series victory last season, a relative said.
Doctors had said Friday that Stow could be sent to the San Francisco hospital as early as Monday.
His family expressed elation on their website, which has been chronicling his medical struggles.
"The day has finally come! Bryan is now stable enough to bring home up north," the family said Friday. "We are happy we get to bring Bryan home.
The family described the pending transfer as "bittersweet" because "we have to leave all the wonderful people we have met on this journey" in Los Angeles, they said.