Former House Speaker Newt Gingrich responded to Thursday night’s truck attack in France by arguing for the expulsion from the U.S. of any Muslim who believes in Sharia law.

Mr. Gingrich is being considered as a possible running mate by presumptive Republican presidential nominee Donald Trump, although senior Republicans said Thursday that Mr. Trump had chosen Indiana Gov. Mike Penceas his running mate.

The former Georgia congressman said on Fox News Channel’s “Hannity” that the U.S. “should frankly test every person here who is of a Muslim background, and if they believe in Sharia, they should be deported. Sharia is incompatible with Western civilization.”

Mr. Gingrich is calling the attack in Nice, which killed more than 80 people, “the fault of Western elites who lack the guts to do what is right, to do what is necessary, and to tell us the truth, and that starts with Barack Obama.”

The Council on Islamic Relations condemned the attack in France, as well as Mr. Gingrich’s suggestion that Muslims in the U.S. should be tested.