The Spaniard was given a chance to stake a claim for more regular action up front as Maurizio Sarri rang the changes, but struggled to impress in a blunt 'Blues' display.
Morata himself was partly to blame for Chelsea's lack of cutting edge, missing the game's best chance in the first half when he side-footed wide with only the goalkeeper to beat after being played in by Pedro.
However, he made amends with 70 minutes gone as he showed his striker's instinct to stab home the opening goal of the game.
Cesc Fabregas was given time and space out on the right to measure a pass and he clipped the ball onto the head of Willian.
The Brazilian was alert enough to flick the ball into the path of Morata, who made no mistake this time as he prodded home from six yards.