An efficient laser control scheme for ultrafast state-selective preparation of vibrationally excited molecules close to the dissociation threshold with ultrashort infrared laser pulses has been developed and demonstrated by means of computer simulations for a one-dimensional dissociative model of OH in the electronic ground state. The control scheme for OH may include up to four laser pulses with properly optimized amplitudes, carrier frequencies, and overlaps. Simulations of the quantum dynamics in the classical laser field show that any prescribed high vibrational level of OH can be populated with selectivity close to 100%.