Idioms and Phrases with push it
Be overly insistent or forward, as in I promise to think over your proposal, but don't push it. This idiom uses push in the sense of “force some activity or issue.” [First half of 1800s]
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.