The announcement comes after the group launched an online petition that garnered 300 signatures asking Brown to meet with undocumented students and hear their stories.
A Brown spokeswoman said Friday that the Republican will meet with one student, a U.S. citizen, from the group in the next four to six weeks.
Kyle de Beausset, a 24-year-old student activist and blogger, says he and other students presented the petition Friday to Brown's Boston office, then staged the sit-in.
During his campaign for Senate, Brown said he was against granting driver's licenses and in-state tuition rates to illegal immigrants.