From Longman Dictionary of Contemporary Englishhigh hopes/expectationshigh hopes/expectationsHOPEwhen someone hopes or expects that something will be very good or successful My expectations of the place were never very high, but I didn’t think it would be this bad.have high hopes/expectations Like many young actors, I had high hopes when I first started out. → high
Examples from the Corpus
have high hopes/expectations• Such partnerships will provide strong, tangible support but will have high expectations.• They are more than a spark but less than a small fire and exporters have high hopes.• In attempting this I have high hopes because there are strong historical precedents for such speculations.• Teachers should have high expectations for their students.• I have high hopes for you.• We will also, of course, imagine that they have high expectations of us.• They have high expectations when they come here and sometimes feel anything less than perfection is a failure. 