On Saturday, the Monegasque put together the fastest lap of the weekend with his first run in Q3 but pushed a little too hard on his second run.
Formula One champion Lewis Hamilton leads Max Verstappen 3-1 in wins so far, but each race has seen them finish 1-2.
PSG's record-extending 14th cup win was given a helping hand after a terrible defensive error gifted an early goal to striker Mauro Icardi.
Monaco bids for a sixth cup victory, having last won in 1991 and losing its previous final to PSG in 2010.
PSG had center half Presnel Kimpembe recklessly sent off near the end, and could have lost for the ninth time in the league this season.
The fact Monaco is in contention for a league and cup double is down to the way Kovac has rotated his players regardless of status, including star striker Wissam Ben Yedder.
Monaco, which has now lost only once in 16 league games, struck a double blow early in the second half.
While the idea of international travel is met with scepticism courtesy the pandemic, the capital will get a slice of Monaco for a day at the Stainless Art Gallery.
During the match, Sofiane Diop and Guillermo Maripan scored one goal each, handing their side a 2-0 win.
Kylian Mbappe, who scored a superb hat trick against Barcelona, was ineffective and among four PSG players shown a yellow card.
The defeat was PSG's third of the season and ended a run of eight straight wins after losing the first two games.
Signed from Chelsea last week, Fabregas impressed on his debut in a 1-1 draw at Marseille, but the 31-year-old was ineligible against Nice.
After two defeats, Bordeaux bounced back thanks to two goals from forward Francois Kamano, who grabbed an injury-time winner after teammate Samuel Kalu missed a penalty minutes earlier.
Cristiano Ronaldo's hat-trick denied Spain the perfect response to a turbulent week following the sacking of Julen Lopetegui in a thrilling 3-3 draw in Sochi.
The former Monaco forward George Weah took office in January on a promise to turn around impoverished Nigeria.