By Barbara Liston

SANFORD, Florida (Reuters) - Seating an impartial jury in the Trayvon Martin Florida murder case may not be as problematic as many had initially feared, despite blanket media coverage that captivated the United States for much of 2012.

As jury selection inched forward on Thursday in the trial of neighborhood watchman George Zimmerman in a central Florida court, the search for potential jurors who claim they know little or nothing at all about the shooting of the unarmed black teenager appeared to be making progress.

"The judge is definitely trying to move things along," said David Weinstein, a former state prosecutor now in private practice in Miami with the firm Clarke Silvergate.

Some potential jurors in Seminole County criminal court said they knew the basic outlines of the case but needed to be prodded by lawyers to recall any specific details.

No jurors have been selected so far for the panel of six and four alternates to hear evidence in a case in which Zimmerman claims self-defense in the February 26, 2012 shooting. Zimmerman, a 29-year-old light-skinned Hispanic, faces up to life imprisonment if convicted of the second-degree murder charge.

Jury selection began on Monday and has been moving slowly. Typically, prosecutors and defense lawyers, guided by a judge, select a panel within a day or two although that can drag out in high-profile cases where judges know intense media attention can influence potential jurors.

On Thursday morning, a white recent high school graduate said he surmised a few details from Facebook, such as that a black person was shot and that Zimmerman was the shooter. He said the topic was very controversial among fellow students at school but he recognized many were just making up "facts."

Some 20 prospective jurors have made it through the first round of questioning, focused largely on their exposure and reaction to widespread pre-trial publicity. Ten more are needed before a group of 30 will move on to further questioning about their views on issues related to the case, such as race and gun laws.

The case drew intense scrutiny and ignited protests because police initially declined to arrest Zimmerman, saying he acted in self-defense during a confrontation with Martin in a gated community in the central Florida town of Sanford.

Some potential jurors, like a middle-aged woman who works in a hospital operating room, told the court she only catches a few minutes of news in the morning before her commute. She and others described a daily work schedule that left little time for television viewing.

One prospect, referred to in court as B-72, even apologized twice for his professed ignorance about the case.

"I know it sounds bad," he said. "I didn't care about it. It didn't involve me. It didn't involve anyone I know."

A black woman referred to as R-65 claimed to have heard nothing about the case until a prayer was offered for both the Martin and Zimmerman families by her pastor at church.

(Additional reporting and writing by David Adams and Tom Brown; Editing by Grant McCool)