The champions currently sit one point clear of Saracens following a run of six wins from seven matches.
Exeter have slipped down to eighth place in recent weeks thanks to a disappointing return of one victory from their previous six outings.
Quins: Lindsay-Hague, Williams, Hopper, Turner-Hall, Monye, Evans, Dickson, Guest, Wallace, Fa'asavalu, Robson, Easter, Johnston, Gray, Lambert
Replacements: Buchanan, Marfo, Collier, Matthews, Trayfoot, Burns, Botica, George
Exeter: Arscott, Nowell, Naqelevuki, Dollman, Jess, Steenson, Thomas, Baxter, Scaysbrook, White, Welch, Hayes, Brown, Yeandle, Rimmer
Replacements: Clark, Moon, Mitchell, Hanks, Ewers, Chudley, Mieres, Whitten
Sports Mole: Quins to seal the win