The Titans announced Saturday they have agreed to terms with Vrabel. A news conference is scheduled for Monday.
Vrabel was the first person Tennessee interviewed after firing Mularkey on Monday. Mularkey went 21-22 and led the franchise to its first playoff victory in 14 years.
Tennessee also interviewed Carolina defensive coordinator Steve Wilks — who satisfied the Rooney rule requiring teams to interview at least one minority candidate — and Los Angeles Rams offensive coordinator Matt LaFleur.
Titans owner Amy Adams Strunk says in a statement it was easy to see Vrabel's commanding presence and relationship with general manager Jon Robinson.