Can each central (simple) K'-Lie algebra be represented as a scalar extension of a K-Lie algebra for any field extension K'/K

Question

Let K'/K be a field extension and L' a central (simple?) K'-Lie algebra. Can we find a K-Lie algebra, such that $L'=K'\otimes_K L$.

in other words:

Let K'/K be a field extension and L' a central (simple?) K'-Lie algebra. Can we find a K'-base B of L', which satisfies $[B,B]\subseteq <B>_K$?