Allostery is vital to the function of many proteins. In some cases, rather than a direct steric effect, mutual modulation of ligand binding at spatially separated sites may be achieved through a change in protein dynamics. Thus changes in vibrational modes of the protein, rather than conformational changes, allow different ligand sites to communicate. Evidence for such an effect has been found in TRAP (trp RNA-binding attenuation protein), a regulatory protein found in species of Bacillus. TRAP is part of a feedback system to modulate expression of the trp operon, which carries genes involved in tryptophan synthesis. Negative feedback is thought to depend on binding of tryptophan-bound, but not unbound, TRAP to a specific mRNA leader sequence. We find that, contrary to expectations, at low temperatures TRAP is able to bind RNA in the absence of tryptophan, and that this effect is particularly strong in the case of Bacillus stearothermophilus TRAP. We have solved the crystal structure of this protein with no tryptophan bound, and find that much of the structure shows little deviation from the tryptophan-bound form. These data support the idea that tryptophan may exert its effect on RNA binding by TRAP through dynamic and not structural changes, and that tryptophan binding may be mimicked by low temperature.