The 19-year-old almost joined Mansfield on loan last month but manager Keith Curle wanted to sign the youngster on a permanent basis.
Curier will train with The Bees this week before they decide whether to take the goalscorer on loan.
Paul Hart has made no secret that he wants to keep Antoine-Curier but he also wants him to gain some valuable first-team experience at a lower level.
The Frenchman would join other youngsters Liam Kearney and Westley Morgan on loan switches should Brentford want to keep him.
Brentford currently lie in mid-table of Division Two.