The ALICE data-taking concept for the LHC Run 3 and Run 4 allows the collection of minimum bias collisions in a continuous readout mode, their subsequent asynchronous reconstruction, and the final offline selection of events for permanent storage. This design enables the implementation of dedicated event selection schemes, tailored for a given observable, and avoids the need for dedicated hardware triggers, which in many cases would be difficult to develop. This paper discusses the strategy for selecting events with high transverse momentum ($p_{\rm T}$) charged-particle jets. The offline jet trigger searches for the presence of a large radius ($R=0.6$) anti-$k_{\rm T}$ jet, within the full pseudorapidity coverage of the ALICE central barrel detectors, with transverse momentum gr
eater than a given $p_{\rm T}$ threshold. Such design provides an unbiased inclusive $p_{\rm T}$ spectra of charged-particle anti-$k_{\rm T}$ jets with radii less or equal to $R$ and of inclusive tracks above the chosen $p_{\rm T}$ threshold.