Scotland outscored their visitors by four tries to two, but it was uninspiring stuff for much of the game before the hosts secured the win.
Tries from George Turner, Adam Hastings, Duhan van der Merwe and Ben White got the job done for the Scots with Hastings and Blair Kinghorn adding a brace of conversions apiece.
For Fiji, Setariki Tuicuvu and Ratu Rotuisolia crossed the whitewash while Vilimoni Botitu slotted a conversion.