The result ensured Napoli will compete in Europe's top competition next season, but Conte kept his future deliberately unclear after the match.
"There is one more match to go," Conte said. "I have a friendly rapport with the President."
He reflected on the job he has done since arriving, pointing to the state of the club when he took over.
"I arrived at Napoli during a moment of extreme difficulty, after the team finished in 10th place with a sense of depression around the club," he explained.
"I promised that when my time here was finished, I would leave behind a solid and ambitious group, capable of fighting and always causing problems for its opponents."
Conte also underlined his competitive philosophy for Napoli going forward.
"Remember I always said, we might not be the strongest team, but we must become the toughest. Napoli must cause problems every year for Juventus, Milan and Inter."
When asked directly about his future, he added: "The President has known my thoughts for a month already."
On the pitch, Napoli delivered a controlled and professional performance to secure their Champions League place.
Scott McTominay opened the scoring after finishing a first-time assist from Rasmus Hojlund, before defender Amir Rrahmani made it 2-0 from a corner delivered by Eljif Elmas.
Napoli dominated much of the contest, with Pisa already relegated and struggling for form, having now lost eight straight matches at the top level.
Goalkeeper Alex Meret was briefly called into action before half-time, but Napoli remained firmly in control throughout.
McTominay came close to adding a third, but it was late substitute finishing that wrapped things up as Hojlund stretched to turn in a drilled cross from Pasquale Mazzocchi in stoppage time.
The win leaves Napoli three points clear of AC Milan and AS Roma heading into the final match, with second place still within reach.
For Pisa, it was another difficult afternoon in a season that has delivered just one win in 26 league games, as they prepare to finish the campaign away at Lazio.
Luis Enrique has delivered a blunt assessment of his side's performance after Paris Saint-Germain ended their Ligue 1 campaign with a disappointing 2-1 defeat to local rivals Paris FC.
Aston Villa secured a place in next season’s UEFA Champions League with a superb 4-2 win over Liverpool at Villa Park, as Morgan Rogers and Ollie Watkins inspired Unai Emery's side.
Liverpool captain Virgil van Dijk has admitted the club's season has fallen below expectations, describing their performances as "unacceptable" while urging the squad to respond strongly in the final two matches and into next season.
Liverpool head to Villa Park knowing their Champions League hopes could hinge on a decisive final away fixture against Aston Villa, with head coach Arne Slot insisting it will be a severe test regardless of form, schedule or fatigue.
