(CNN) - Mr. President: Mitch McConnell is ready to have that drink.
The Senate Minority Leader's campaign team posted a photo on Twitter of McConnell sitting at a bar with an empty seat and two drinks.
"Greetings from coal country!" read the tweet, directed at President Obama.
The tweet came in response to one of the president's biggest lines of the night Saturday during his comedic routine at the annual White House Correspondents' Dinner.
Setting up the joke, Obama reminded his audience of his recent congressional outreach, in which he's hosted two dinners with Republican senators.
"Of course, even after I've done all this, some folks still don't think I spend enough time with Congress. 'Why don't you get a drink with Mitch McConnell?" they ask. Really? Why don't you get a drink with Mitch McConnell?"
Amid the applause and laughter, he added: "I'm sorry. I get frustrated sometimes."
In the new photo, McConnell sits smiling in one of two chairs at the corner of a bar, pointing invitingly to the other seat. The Republican senator from Kentucky has a beer, while a glass of red wine sits idly by the empty chair.
Speaking of "empty chair," the tweet was also directed at Hollywood legend Clint Eastwood, who notoriously spoke to an empty chair meant to represent Obama at the Republican National Convention in August.
McConnell faces re-election next year.
- CNN's Paul Steinhauser and Ashley Killough contributed to this report.