Columbia, SC (AP, WLTX) - South Carolina Gov. Nikki Haley says she's "flattered" but "not interested" in being vice president.

Haley received questions again about the issue Wednesday, the day after Donald Trump became the presumptive nominee for president. Her name was mentioned in some media reports as a possible pick for the Trump ticket in the fall.

But Haley deflected those questions, saying, "my plate is full."

She did add that she will "support the Republican nominee for president" out of her "great respect for the will of the people," but did not mention Trump by name in a statement released from her office.

Haley has frequently been mentioned as an appealing candidate for the GOP nominee. But she's crossed swords with Trump - who won the South Carolina primary - over immigration and other issues.

Haley endorsed Marco Rubio before South Carolina's primary, and had indicated she supported Ted Cruz's bid for the White House after Rubio exited.