We investigate the formation of a laser-produced magnetized jet under conditions of a varying mass ejection rate and a varying divergence of the ejected plasma flow. This is done by irradiating a solid target placed in a 20 T magnetic field with, first, a collinear precursor laser pulse (10 12 W=cm 2 ) and, then, a main pulse (10 13 W=cm 2 ) arriving 9-19 ns later. Varying the time delay between the two pulses is found to control the divergence of the expanding plasma, which is shown to increase the strength of and heating in the conical shock that is responsible for jet collimation. These results show that plasma collimation due to shocks against a strong magnetic field can lead to stable, astrophysically relevant jets that are sustained over time scales 100 times the laser pulse duration (i.e., > 70 ns), even in the case of strong variability at the source. DOI: 10.1103/PhysRevLett.119.255002 Whereas a large amount of work has been done concerning the vacuum expansion of a laser-produced plasma and its inertial collimation through, for example, different geometrical target configurations or particular focusing of the laser [1][2][3][4], experiments with external magnetic fields strong enough to affect the plasma dynamics or energy transport have been made possible only recently. Such studies are pertinent to concepts related to both laser- [5] and magnetically driven [6] inertial confinement fusion that combine high-power lasers with strong magnetic fields to increase implosion stability [7,8] and improve yields [9]. Related experiments have already shown significant modifications to energy transport [10,11] due to the magnetic field. However, little attention has been paid so far to the role of a strong externally applied magnetic field on the laser ablation dynamics or on the influence of time-variable ejections on the plasma evolution.Within the context of high-energy density laboratory astrophysics, the coupling of laser-driven plasmas with an externally imposed magnetic field has proven successful in diverse areas, examples are the generation of collisionless shocks [12] and studies related to magnetized accretion columns [13] and magnetically collimated jets [14][15][16][17]. High-aspect-ratio, supersonic jets are ubiquitous in astrophysics (e.g., in young stellar objects [18] and active galactic nuclei [19]), and are the result of magnetic fields mediating the extraction of energy from an accreting system [20].While not yet studied in the laboratory, variability of the mass ejection rate plays an important role in structuring astrophysical jets, for example, by generating velocity fluctuations large enough to produce internal shocks in the flow [21].In this Letter we investigate the collimation, heating, long-range jet formation, and stability of plasma flows