slang To act, behave, or carry oneself in a deliberate, self-important, or self-assured manner. Most common in African-American communities. He thinks he can walk heavy around here now that he's gotten that fancy job of his. You gotta walk heavy if you want to make a name for yourself around here.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
in. to be important. (Black.) Harry’s been walking heavy since he graduated.
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved.