There have been an increasing number of publications on current conveyor oscillator structures in recent years. For most topologies presented, independent frequency and oscillation condition control by a single element is possible, they use minimum number of components employing grounded passive elements, but none of them allow linear period control which is essential for numerous applications. The oscillator presented here based on the nonlinear behavior of the CCII+ allows single element linear period control over three decades of the period, is suitable for integration, and is free from high frequency limitations of operational amplifier counterparts.