It was experimentally proven for the first time that the turbulence produced by crossed-flow supersonic jets of a fuel (natural gas) and an oxidizer (oxygen), which are injected at a pressure of 25 to 150 atm into a smooth detonation tube 74 mm in diameter, causes a fast deflagration-to-detonation transition at distances as short as 300 mm (up to 4 tube diameters) in times of tenths of a millisecond (similar to 0.4 ms). The obtained results can be used for designing compact predetonators for detonation combustors of promising energy-converting devices.