Sunderland put in a good performance against Tottenham Hotspur, but fell to a 1-0 defeat at the weekend.
The Black Cats slipped up against Spurs, with Ryan Mason scoring a late goal to give the London side the three points.
However, Advocaat was still pleased with his side's performance and he wanted to ensure that they did not get too down about losing after the match.
“I said to the players that we have to take the positive things out of this game," he revealed to the Shields Gazette. “If we have that spirit, then we’ll get points as well.
“They did not outplay us football-wise, but result-wise.”
Sunderland are still looking for their first win of the new campaign, but their performance against Tottenham was arguably their finest so far.
The Black Cats were a constant threat, but they were unable to convert their territorial dominance into goals and were made to pay.
It leaves Advocaat's side propping up the table, but the Dutchman seems to have been encouraged by what he has seen from his players.
Sunderland's next chance to get their maiden win of the campaign comes against 16th placed Bournemouth next weekend.