The lead detective on the case, David Petique, had asked Goodman to take a polygraph test to clear herself when she was first under investigation in the month after her husband's death, attorneys Alison Triessl and Robert Sheahen said. But she refused that request on May 3, they said, on advice of her former counsel.
Sometimes attorneys oppose such requests because it can be seen as a waiver of Fifth Amendment protection against self-incrimination.
Goodman's attorneys said she has now fulfilled the request and passed.
"I'm hopeful that they are going to reassess their case," Triessl said in a phone interview. "The facts just don't support that there was a murder. The results of the polygraph prove Lois Goodman did not kill her husband. He died in a freak accident."
Goodman, who has refereed matches between some of tennis's greatest players, has pleaded not guilty to killing her 80-year-old husband by beating him with a coffee cup and using its broken handle to stab him. She has suggested Alan Goodman fell down the steps while holding a coffee cup, causing his fatal injuries.
Alan Goodman died in April. Authorities initially believed he fell down stairs at home while his wife was away but later decided it was homicide after a mortuary reported suspicious injuries on Alan Goodman's head.