In the U.S., Chrysler's market share climbed to 12.5 percent in the first quarter, a sizable increase from the first quarter of last year, when it was 11.4 percent.
Read MoreChrysler reports loss on merger items
Last week, Chrysler CEO Sergio Marchionne set a target of 15.8 percent share in the U.S. by 2018. That share target would include sales of Fiat, Ferrari and Maserati in the U.S.
However, Jeep has emerged as the real growth engine for Chrysler, thanks to a refreshed lineup and more new models scheduled to come later this year.
The brand's sales are up 46.5 percent domestically through April, according to Autodata. That includes a 17.4 percent increase for the Grand Cherokee, 16.2 percent for the Patriot and 10.5 percent growth for Wrangler.
Read MoreJeep plots global boom
Still, Jeep is just barely scratching the surface in terms of international growth. Overall, Fiat Chrysler sold 732,000 Jeeps last year, with the overwhelming majority being in the U.S. and Canada. By 2018, the company is targeting worldwide sales of Jeeps to hit 1.9 million, with much of that growth coming from overseas.
"The Jeep brand is knocking it out of the park right now," Gutierrez said. "Look at the new Cherokee. It is absolutely getting the attention of buyers in a very competitive small SUV market."
Over the next couple of years, Jeeps will be built in five additional countries, not just in the U.S.
Another indication of how strong Jeep sales are right now: its plants are running at full capacity.