Base station cooperation requires knowledge of the users' channel state information (CSI) at the transmitter side to manage co-channel interference. Users in a multicell cooperative system have to feedback the CSI of desired and interfering channels using finite-bandwidth links. Hence, the available feedback resources need to be partitioned efficiently between the multiple channels. In this paper, a feedback-bit allocation strategy is proposed for intercell interference nulling by taking into account the received signal strengths and delays in the feedback and backhaul links. Closed-form expressions for bit partitions are derived, to allocate more bits to quantize the strong interferers with small delays and assign fewer bits to weak channels with large delays. Simulations show how the proposed algorithm yields higher sum-rates than equal bit allocation.