Hey,
DTP is supported on 2960-Plus.
Check the links:
http://www.cisco.com/c/en/us/td/docs/switches/lan/catalyst2960/software/release/15-0_2_se/configuration/guide/scg2960/swvlan.html
http://www.cisco.com/c/en/us/td/docs/switches/lan/catalyst2960/software/release/15-2_2_e/configuration/guide/b_1522e_2960_2960c_2960s_2960sf_2960p_cg/b_1522e_2960_2960c_2960s_2960sf_2960p_cg_chapter_01101.html
Regards,
RS.