President Aurelio De Laurentiis and sporting director Giovanni Manna have communicated to Lobotka's representatives that the club intends to offer him a new contract, according to La Gazzetta dello Sport.
The Slovak midfielder, who has been a cornerstone of the squad across both Scudetto-winning campaigns under Conte and his predecessor Luciano Spalletti, is under contract until 2027. There is understood to be appetite on both sides to extend.
De Bruyne, who joined from Manchester City last summer and spent a significant portion of the season sidelined by injury, is also regarded as a non-negotiable piece of the project. The Belgian midfielder demonstrated his quality across the matches he was fit for, and the club view his presence as important not only on the pitch but as a statement of intent to the market about where Napoli see themselves.
Maurizio Sarri has been the most prominently linked name in Italian media as Conte's potential replacement. The Lazio coach is expected to become available and would represent a recognisable brand of football to supporters.
The next manager, whoever that is, will inherit a squad that secured Champions League football for a second consecutive season — a significant improvement on the club's position when Conte arrived to a side that had finished tenth.