Egotistical?

Archie Goodwin, Champagne for One:

If I hadn’t had my full share of ego I might also have been curious as to why he had picked on me, since we were not chums, but of course that was no problem. If your ego is in good shape you will pretend you’re surprised if a National Chairman calls you to tell you his party wants to nominate you for President of the United States, but you’re not really surprised.