Why not?
1.Oda's always used Sanji as a judge of character (Robin, Viola, Gin, Pudding, etc.) He either accepts them right away when others don't because he sees who they are inside/fooling themselves, or doesn't accept them and is later right.
2. Jimbei cares about his people and their freedom to the point of sacrifice and the CDs snd WG can take advantage of that.
3. He was very eager to finally join at WCI.
Again I don't think it'd be willing, but as a forced plant in the crew. When everyone was saying Jimbei had proven himself, Oda had Sanji looking away.