grease (one's) palm(redirected from greasing their palm)
grease (one's) palm
To bribe someone discreetly, as by slipping money into their palm. A: "How are we going to get a table without a reservation?" B: "Don't worry, I greased the hostess' palm, and she promised us a table in no time." I greased my brother's palm to stop him from telling mom that I had a party while she was away.
grease someone's palmand oil someone's palm
Fig. to bribe someone. If you want to get something done around here, you have to grease someone's palm. I'd never oil a police officer's palm. That's illegal.