Azpilicueta picked out his teammate with a ball over the top, which the former Real Madrid striker was able to convert to open the scoring on Tuesday afternoon.
The two players have now linked up for six goals in the Premier League this campaign, and Conte believes that there is potentially more to come from the Spanish duo.
"[Azpilicueta] has to score also! As you know very well, Azpi is a defender with good feet," he told reporters. "There is this great link between him and Alvaro. This wasn't the first time.
"I hope it continues in this way because we need his assists and Morata to score. Morata has to pay not one dinner but more dinners to Azpi. And, if they invite me, I want to go!"
Only Real Sociedad in Europe's big five leagues can match Chelsea's tally of 20 goals this season scored by Spanish players.