The paper describes a conceptual design of a small-scale experiment within the fusion neutron source project ALIANCE. The experimental machine is an axially symmetric magnetic plasma trap with high mirror ratio, which focuses on physical and engineering problems of mirror-based gasdynamic neutron sources. The particular research topics include MHD stability of plasma with high mirror ratio, operation of electrodes used for plasma stabilization and problems related to particle and energy transport. ALIANCE-T features superconducting mirror solenoids that enable it to reach mirror ratios of ~ 100 and a helicon plasma source with power up to 25 kW installed directly in the confinement zone between the mirrors. Expected plasma parameters are estimated using a simple analytical model, which takes into account gasdynamic axial plasma losses, cross-field transport and interaction of plasma with neutral gas. It is projected that the machine will reach simultaneously plasma density of > 1013 cm-3 and temperature > 10 eV in a continuous discharge lasting 1 – 8 hours. The paper gives a detailed description of key machine subsystems and introduces the analytical model used for calculation of plasma parameters.