Olivier Giroud scored the only goal of the game just after half time, with the Frenchman glancing a header inside the near post for his first of the campaign.
However, BATE were unfortunate not to gain a share of the spoils with the home side striking the woodwork on three separate occasions.
Find out how all of the action unfolded at the Borisov Arena courtesy of Sports Mole's minute-by-minute updates below.
CHELSEA SUBSTITUTES: Caballero, Azpilicueta, Ampadu, Kante, Kovacic, Hudson-Odoi, Willian
BATE BORISOV SUBSTITUTES: Yablonski, Berezkin, Ivanic, Tuominen, Polyakov, Chichkan, Moukam
BATE BORISOV XI: Scherbitski; Rios, Volkov, Filipenko, Filipovic, Baga, Dragun, Hleb, Skavysh, Signevich, Stasevich
CHELSEA XI: Arrizabalaga; Zappacosta, Christensen, Cahill, Emerson; Jorginho, Barkley, Loftus-Cheek; Pedro, Hazard, Giroud
If you would like to read our on-the-whistle match report, you can do so by clicking here. Goodbye for now.