  Cosmic string cusps are sources of short-lived, linearly polarised
gravitational wave bursts which can be searched for in gravitational wave
detectors. We assess the capability of LISA to detect these bursts using the
latest LISA configuration and operational assumptions. For such short bursts,
we verify that LISA can be considered as ``frozen", namely that one can neglect
LISA's orbital motion. We consider two models for the network of cosmic string
loops, and estimate that LISA should be able to detect 4-30 bursts per year
assuming a string tension $G\mu \approx 10^{-10.6} - 10^{-10.1}$ and detection
threshold $\rm{SNR} \ge 20$. Non-detection of these bursts would constrain the
string tension to $G\mu\lesssim 10^{-11}$ for both models.
