if an idea or thought crosses your mind, you think about it for a short time.
The thought did cross my mind that she might be taking drugs.
(often + that)
The idea of failure never crossed his mind.
(often negative)
cross (one's) mind
To be thought of by one. Take time to form your response to the interviewer—don't just blurt out the first thing that crosses your mind.I haven't thought of my high school English teacher in years, so I'm not sure why she crossed my mind today.
cross (one's) mind
To come to know; realize: It crossed my mind that you might want to leave early.