Eastern Kentucky University's public safety office said there was no evidence of imminent danger but reported "an escalation in the threat, originating from social media." Police presence around the campus has increased, the office said.
School officials did not immediately identify the nature of the social media threat.
The threats surfaced Monday, when campus police issued a public safety alert after menacing graffiti was found in a campus bathroom. The graffiti said: "Kill All By 10/8/15," or Oct. 8, 2015.
"While we are confident the responding team of law enforcement agencies has kept a watchful eye over our community and is diligently investigating the threat, it has become clear this incident continues to be unsettling to a number of our students, faculty and staff," Benson said in a campus message.
Full campus operations will resume next Wednesday, following the school's fall break, Benson said. Campus public safety officials said some special events might continue as planned with increased security. Campus police continue to follow up on tips and interview people as part of the investigation.