The 27-year-old's partner is Kelly Piquet, daughter of Brazil's triple world champion Nelson, who already has a daughter from a previous relationship with Russian former F1 driver Daniil Kvyat.
A team spokesman said all was well and Verstappen "will attend track tomorrow for the race weekend."
Friday has a sole practice session ahead of sprint qualifying, with a 100km sprint race followed by regular qualifying on Saturday before Sunday's race around the Hard Rock Stadium.
The Dutch driver is third overall after five races, 12 points behind McLaren's Australian championship leader Oscar Piastri.