Facing 10 overs after the county side declared their innings at 300 for six on the penultimate day, the visitors lost two quick wickets with Wasim Jaffer and Mahendra Singh Dhoni returning cheaply to the pavilion for four and 11 respectively.
At the draw of stumps, Dinesh Karthik was batting on four while Yuvraj Singh remained unbeaten on two.
Earlier resuming at their overnight score of 146 for five, Sussex rode on a maiden first class hundred by AJ Hodd to declare their innings on 300 for six from 85.1 overs. Hodd remained not out on 106, which was made from 165 balls with the help of 10 hits to the fence.
Hodd shared a 125-run sixth wicket stand with Martin-Jenkins to frustrate the Indians and the only success India achieved was the dismissal of Jenkins for 42, stumped by Dhoni off the bowling of Anil Kumble.
India are now leading by 109 runs with eight second innings wickets intact and a day remaining.
Over four hours of play were lost today due to rain which began minutes before the scheduled start at 11:00 am local time (1530 hrs IST) and the conditions did not improve through the morning. The players finally took the field at 3.15 pm local time (1945 hrs IST).
India 388 for seven declared (Dinesh Karthik 76, Gautam Gambhir 81, Rahul Dravid retired hurt 57, VVS Laxman 95, Saqlain Mushtaq 3 for 71, OP Rayner 2 for 34) & 21 for 2
Sussex 300 for six declared (AJ Hodd not out 106, MH Yardy 53, Martin-Jenkins 42; Anil Kumble 3 for 66).