In one embodiment, a tape movement constraint comprises a tiltable tape roller bearing having a grooved surface adapted to contact and engage a surface of the tape as the roller barrel rotates. An actuator adapted to pivot the roller bearing surface controls the lateral position of a tape. In operation, in one embodiment, the roller barrel of the roller bearing is rotated by engaging a surface of the tape roller barrel with a longitudinally moving magnetic tape. At least a portion of any air bearing between the moving tape and the barrel surface is quenched using grooves formed in the barrel surface. The lateral position of the moving tape is sensed and the rotating roller barrel is tilted in response to the sensed lateral position of the moving tape to control the lateral position of the moving tape. Other embodiments are described and claimed.