This is one of Maxwell's equations:
$$-\frac{\partial{\vec{B}}}{\partial{t}} = \vec{\nabla}\times\vec{E}$$
It says that a time-varying magnetic field will always accompany a spatially-varying non-conservative electric field. (Not quite the same as saying it creates an electric field--I'm borrowing the language used here-- but perhaps this is a minor linguistic point.)
If $\vec{B}$ is not time-varying, we won't see the non-conservative electric field $\vec{E}$ referenced here, but there is a conservative electric field outside the wire when a current is flowing. See this question for further discussion.