Keep Under Wraps

To keep something secret or concealed from others.

Examples:

  • I need you to keep this under wraps — let's make it a surprise when we get the deal.
  • New product details were kept under wraps until the official announcement.

Origin: From horse racing, where a rider would wrap the reins tightly to hold the horse back and conceal its full speed.

Synonyms: keep secret, keep quiet, keep hush