Like the message on the side of a pack of smokes, the Yankees’ four-game sweep in Minnesota comes with a warning: The Twins reek.

Sure, the lineup the Yankees put on the field for yesterday’s 9-5 victory in front of a Fourth of July gathering of 38,260 at Target Field was, in scout’s talk, short. After all, Luis Cruz, Alberto Gonzalez and Austin Romine were housed in the lower third of the card.

Still, the Twins are in a free-fall, having dropped eight of 11, are hurtling toward the AL Central cellar and are formulating plans to see what slugging first baseman Justin Morneau, who homered twice yesterday, can bring back in a trade.

After scoring eight runs in the four games — all losses — before arriving in Minnesota, the Yankees punished Twins pitching for 29 runs in the four victories.

“Coming here the way we played was huge for us,’’ Vernon Wells said of the Yankees’ five-game losing streak before Monday night’s victory. “We took advantage of mistakes. We got some pitches up in the zone and we are not missing them.’’

The victory enabled the Yankees to stay six games behind the AL East-leading Red Sox.