We demonstrate tunable mid-infrared (MIR) Raman soliton generation in an all-solid fluorotellurite fiber pumped by a 1960 nm femtosecond fiber laser. All-solid fluorotellurite fibers are fabricated by using a rod-in-tube method. The core and cladding materials are TeO2-BaF2-Y2O3 (TBY) and AlF3-based glasses. Since the refractive index of AlF3-based glass is much lower than that of TBY glass, the zero-dispersion wavelength of all-solid fluorotellurite fiber can be tuned in a wide range by simply varying the core diameter of the fiber. By using a 0.5 m long all-solid fluorotellurite fiber with a core diameter of ∼ 2.7 μm as the nonlinear medium and a 1960 nm femtosecond fiber laser as the pump source, tunable MIR Raman soliton generation from 1.96 to 2.82 μm is obtained via soliton self-frequency shift by increasing the pump power. For the soliton laser source operating at 2.82 μm, the obtained optical-to-optical conversion efficiency is about 18% and the calculated pulse width is about 93 fs. Our results show that all-solid fluorotellurite fibers are promising nonlinear media for constructing tunable MIR ultrafast laser sources.