We present measurements on the capillary rise of water and two linear alkanes (n-C16H34, n-C24H50) in nanopores of monolithic Vycor glass (mean pore radius 5 nm). Measurements of the mass uptake as a function of time, m(t), are in good agreement with the Lucas-Washburn √t-prediction typical of imbibition of liquids into porous hosts. The relative capillary rise velocities of the liquids investigated scale as expected from the bulk fluid parameters.