Drake (2-8) went up 44-29 in the first three minutes of the second before Jackson State (1-9) rallied to within three on Raeford Worsham's three-point play with 9:07 left.
Timmer scored nine as the Bulldogs went back in front by 15 with a 17-5 run over the next 4:31. Jackson State closed to 72-64 but would get no closer.
Worsham had seven straight points early in the second half and scored 14 during the Tigers' rally to get within 55-52. He finished a career-high 27 and Dre'Sean Looney added 15 points, making 4 of 6 from 3-point range.