have an eye on

have an eye on or have one's eye on  {v. phr.},  {informal}

1. To look at or think about (something wanted); have a wish for; have as an aim.

I bought ice cream, but Jimmy had his eye on some candy.

John has his eye on a scholarship so he can go to college.

Compare: IN MIND.

2. See: KEEP AN EYE ON (1).