We explore the benefit of feedback for interference management in wireless data networks by investigating a two- user bursty interference channel (IC), where the presence of interference is governed by a Bernoulli random state. We completely characterize the capacity region of the symmetric two-user linear deterministic bursty IC with feedback. Depending on the operating regime, the proposed two-phase scheme exploits the channel output feedback either for refining the previous interfered transmission or for relaying additional information to the legitimate receiver of the other user. Matching outer bounds are derived by using novel techniques that take the effect of delayed state information into account.