Could bachelor Rep. Aaron Schock be looking to settle down?

We hear the Illinois Republican was spotted getting cozy with a woman at BLT Steak on Thursday night. A spy tells HOH that Schock and the gal were seated on the same side of the table at the downtown restaurant.

“He was smiling, and I got date vibes,” our tipster says, although he noted that he didn’t notice any overt public displays of affection.

Apparently the pair caused a stir in the restaurant as bartenders and the restaurant hostess tried to identify Schock.

But the truth is that the evening was all business. The woman Schock was spotted breaking bread with was actually his scheduler, Jeannie Etchart.

“I think they were coming back from another event and grabbed dinner,” says Steve Dutton, Schock’s communications director.