Wikipedia mentions it, also since there is no source provided I did some further googling.

"By the late 1990s some suspected the family was dormant, some said the family was absorbed by the New York-based Gambino family, while others maintained the family was still around, but not as active." - https://www.cltampa.com/news-views/article/20712530/the-mob

Scott Deitche has said that an LE source told him as far back as 1997/1998 that "you know the Trafficantes are under the Gambinos now." Deitche also mentioned how John Mamone - a powerful Trafficante soldier and second-in-command to longtime Miami capo Steve Raffa - told investigators after he flipped in 2000 that when he was inducted into the crime family in the mid-1990s in Tampa, Raffa told him they were "with" the Gambinos.
In Deitche's book "Cigar City Mafia," which is probably the most comprehensive book on the Trafficante crime family, Deitche maintained from pages 264-266 that the prevailing theory was that the family was under the Gambinos. He is able to tie in numerous busts to illustrate the ties that the two families have, and explicitly mentioned John Gotti Jr. Other names mentioned were Gambino senior advisor Joe Arcuri, "a native Tampan with ties to both Trafficante and LoScalzo," Gambino crew leader Ronald 'Ronnie One Arm' Trucchio, Vincent 'Vinny Aspirins' Congiusti, Terry Scaglione, and more.