We investigate confined shear thickening suspensions for which the sample thickness is comparable to the particle dimensions. Rheometry measurements are presented for densely packed suspensions of spheres and rods with aspect ratios 6 and 9. By varying the suspension thickness in the direction of the shear gradient at constant shear rate, we find pronounced oscillations in the stress. These oscillations become stronger as the gap size is decreased, and the stress is minimized when the sample thickness becomes commensurate with an integer number of particle layers. Despite this confinement-induced effect, viscosity curves show shear thickening that retains bulk behavior down to samples as thin as two particle diameters for spheres, below which the suspension is jammed. Rods exhibit similar behavior commensurate with the particle width, but they show additional effects when the thickness is reduced below about a particle length as they are forced to align; the stress increases for decreasing gap size at fixed shear rate while the shear thickening regime gradually transitions to a Newtonian scaling regime. This weakening of shear thickening as an ordered configuration is approached contrasts with the strengthening of shear thickening when the packing fraction is increased in the disordered bulk limit, despite the fact that both types of confinement eventually lead to jamming.When fluids are confined to thin layers, their flow behavior can differ markedly from the bulk. This is an issue of considerable importance in situations ranging from molecular lubrication films where it can induce increased friction (Braun & Naumovets, 2006) to macroscopic granular materials flowing out of a narrow hopper opening, where the particles can jam into rigid structures. Here we investigate this transition from flowing to jamming for densely packed, non-Brownian suspensions which exhibit shear thickening in the absence of strong interparticle interactions (Barnes, 1989;Brown et al., 2010). Shear thickening fluids are non-Newtonian such that their dynamic viscosity -defined as shear stress divided by shear rate in a steady state -increases over some range of shear rate. In dense suspensions this phenomenon is remarkable because it is characterized by a dramatic increase of stress with shear rate (Metzner & Whitlock, 1958;Hoffmann, 1972;1982;Laun, 1994;Frith et al., 1996;Maranzano & Wagner, 2001;Egres & Wagner, 2005;Lootens et al., 2005;Fall et al., 2008;Brown & Jaeger, 2009) which goes by the name of Discontinuous Shear Thickening, as well as the ability to absorb impacts (Lee et al., 2003). Consequences of jamming can be seen even in bulk rheology in terms of a critical packing fraction φ c corresponding to random loose packing above which the suspension is jammed, i.e. a yield stress is measured. This critical packing fraction controls the shear stress as a function of shear rate such that the slope increases with packing fraction and becomes discontinuous at φ c (Brown & Jaeger, 2009). Prior work on shear thickening fluids ...