In this paper, we have characterizations of almost P-spaces which are analogous characterizations of P-spaces and we will show that if X is an almost P-space such that it is $C^{*}-embedded$ in every almost P-space in which X is embedded, then $$mid${upsilon}X-X$mid${leq}1$</TEX> and that if $$mid${upsilon}X-X$mid${leq}1$</TEX> and ${upsilon}X$ is Lindelof, then for any almost P-space Y in which X is dense embedded, then X is $C^{*}-embeded$ in Y.