From Longman Dictionary of Contemporary Englishdream something ↔ up phrasal verbINVENTto think of a plan or idea, especially an unusual one He was continually dreaming up new schemes to promote and enlarge the business. → dream→ See Verb table
Examples from the Corpus
dream up• The theory must have sounded wonderful to the think-tankers who dreamed it up.• In my dream I got up and went to the office.• He didn't have the muscle to Dream it all up for himself.• April 18: Had that lousy dream about packing up for the concentration camp and the clock going dead.• Most love is a dream we wake up from.• Understanding of the dream built up in layers, over a long period of time.• He had dreamed of fixing up the two-story, 1,000-square - foot summer cabin on South Mountain for his retirement. 