Cops say Dupree and "several" people with him got into an altercation with two employees at the store ... after "a male employee began videoing Dupree with his phone."
Police, though, say by the time officers arrived on scene, Dupree and the other individuals with him had already left.
Cops say they're seeking to interview all parties now -- including Dupree -- after they say a 21-year-old female employee and a 20-year-old male employee both needed treatment for cuts they sustained in the alleged altercation.
As of now, no arrests have been made ... and no formal charges have been brought against Dupree or others.
The Titans -- who clinched the AFC South title with their win Sunday -- released a statement saying, "We are aware of the situation and are gathering additional information."