1
general::
Phrase(s): feel someone out (about someone or something)
Fig. to find out what someone thinks about someone or something. (This does not involve touching anyone.) • I will feel him out about what he thinks about going to Florida. • Let me feel out the boss about this matter.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Try cautiously or indirectly to ascertain someone's viewpoint or the nature of something. For example, We'd better feel out the author before we commit him to a publicity tour. This term alludes to physical groping. [Late 1800s] Also see TAKE THE PULSE OF.
American Heritage Idioms