"The FFT has learnt of the positive test of Richard Gasquet at the Miami tournament, although no official notification has been made," the FFT said in a statement.
French sports daily L'Equipe reported on Saturday that world number 23 Gasquet had failed a drugs test for cocaine at the Sony Ericsson Open in Miami last month.
The 22-year-old Gasquet could face a two-year suspension from the sport.
"This piece of information, that is very surprising (...) would be, if confirmed, a very sad one for Richard Gasquet himself, for tennis in general and for French tennis in particular," the statement read.
An ITF spokesman said on Sunday: "We cannot confirm, deny or comment on this due our confidentiality rules."
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