If $\zeta (s)=0$ with $\Im (s)>0$ in critical strip, does exist a real positive number $y \in \mathbb{R}$ such that $\Im (s) \geq y$

Question

Let $s$ be a zero of $\zeta$ Riemann zeta function in critical strip with $\Im (s)>0$.

My question is: does it exist a real positive number $y \in \mathbb{R}$ such that $\Im (s) \geq y$

Thanks.