The Brazil international has been strongly linked with a summer move to Liverpool as Jurgen Klopp aims to bring in one or two star players as part of a reported squad overhaul set to take place at Anfield.
However, Lucas says he won't be one of those players en route to Merseyside as his ambition is to stay with PSG before ending his career with Sao Paulo in his homeland.
"My dream is to stay my whole career at PSG, win many titles, then back to Sao Paulo,” he told Canal +.
Another player who has been strongly linked with a switch away from Parc des Princes is Edinson Cavani, who has lost his place in Laurent Blanc's side to Lucas for most of the season.
RUMOURS | Liverpool want PSG's Lucas
And Lucas says Cavani's lack of regular first-team football is an indicator as to how well he is playing for the French champions at the moment, lauding his team-mate as “incredible”.
"In football, you always have to prove your qualities,” he continued. “This is huge for me to play in starting XI instead Cavani. Because Cavani is an incredible player, and with lots of experience."
PSG are currently on course to retain the domestic treble they won under Blanc's tutelage last season, having already won the league title while also being through to the Coupe de la Ligue final and Coupe de France semis.
The one trophy that has evaded the Parisiens so far is the Champions League, which Lucas says is his side's “dream” to win as they look to down Manchester City in this year's quarter-finals
"We won four consecutive championships, it's really beautiful,” added Lucas.
“With eight games remaining, it'll give us time to work and think about the Champions League. The UCL is our sweetest dream."