McDonnell said he met with UVA President John Casteen to discuss what can be done legally to make sure administrators are aware a student's violent history on or off campus in hopes of avoiding a repeat of what he called "an unprecedented tragedy.
"There's reviews going on now. We're conducting our own look at the facts after all the investigation is done," he said. "When the general assembly comes back next year, we can make those changes."
Huguely's mother has said she is "devastated and confused" by what her son is accused of doing.
"As a mother, I never expected to be in a situation like this," Marta Murphy said in a statement Tuesday. "Though my pain is great, it will never come close to the anguish felt by the Love family...The pain [her mother Sharon] and her family are suffering is something that no family should ever have to endure."
Murphy said she knew Love because of her son's long relationship with her.
"Yeardley was part of our lives... She was a sweet wonderful young woman with a limitless future. We also know her mother, Sharon," she said.
While Murphy said she is grieving and praying for Love's family, she also said she will stand by her 22-year-old son, who was accused in her killing.
"I hope that people can understand that both George's father and I love our son. We will support George in whatever way we can -- just as any mother or father would do for their child," she said.
"As a person of faith, I continue to pray for the Love family, for Yeardley's friends and, for my son George," Murphy said.
Love was laid to rest near her family's home in Baltimore on May 8.
Police were called to Love's off-campus apartment at 2:15 a.m. by her roommate, who suspected that she may have just had too much to drink. But when authorities were unsuccessful in reviving Love, evidence of trauma became clear and they arrested Huguely at his own apartment just a few blocks away.
Police said Huguely described how he confronted her and how she sustained her injuries.
He also told police he and Love had broken up and that he had communicated with her through e-mails. Before leaving her room, according to the documents, he took her computer and "disposed of it." The police document says Huguely told investigators where to find Love's computer.
Police later reportedly seized a red-stained lacrosse T-shirt from Huguely's apartment, along with a shower curtain and a letter addressed to Love.
Huguely was charged with first-degree murder and held without bond. His lawyer said during a bond hearing that Love's death was an "accident."
Scheduled to graduate on May 23 with the rest of her class, Love now will receive her degree posthumously.
While university officials have said that they were not aware of any past issues Huguely had with the law, the 22-year-old had been picked up on several charges before last week.
In December 2008, his father, George Huguely IV, called Florida police to the family's yacht with a domestic abuse complaint after George Huguely V jumped into the Atlantic Ocean and began swimming to shore, according to the Palm Beach Sheriff's Office.
No arrests were made, and Huguely was picked up by a passing boater without injury.