Strict Topology in multiplier algebra

Question

Supose $A$ a $C^*$-algebra. If $\phi: M(A) \rightarrow \mathbb{C}$ is a linear functional (where $M(A)$ is the multiplier algebra of $A$) then what does it means that $\phi$ is continuous in the strict topology? If $\phi$ is continuous in the strict topology then it is continuous in the norm of $A$?