The compression mechanism of Fe_1.087Te was studied by high-pressure X-ray diffraction at ambient temperature. Fe_1.087Te retains tetragonal symmetry up to the highest measured pressure of 25.67 GPa and the structural parameters obtained by high-pressure X-ray diffraction were used as input parameters for electronic structure calculation at the DFT level. The electronic structure calculations show that the chemical bonding between Te atoms across the van der Waals gap is enhanced at elevated pressures and the Fermi surface undergoes at topological change at ≈4 GPa reflecting a change from 2- to 3-dimensional character of the electronic structure. Mössbauer spectra of Fe_1.087Te recorded at elevated pressures and ambient temperature showed no indication of a pressure-induced change of the spin-state and the obtained isomer shifts and quadrupole splittings are consistent with Fe²⁺ ion with S = 1.