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Donald Trump is hoping to sweep all 95 of New York's delegates. | Getty Trump holds on to big lead in New York

Donald Trump is keeping his grip on a big lead in New York, while John Kasich is seeing a tick up in his own level of support ahead of Tuesday's primary.

An NBC News/Wall Street Journal/Marist poll out Friday showed Trump maintaining majority support in his home state with 54 percent of likely Republican voters. Kasich has 25 percent, up from 21 percent in a poll out Monday, and Texas Sen. Ted Cruz has 16 percent, a dip from 18 percent.

If Trump tops 50 percent statewide, he will sweep up 14 of the state's 95 delegates in play. The remaining 81 delegates are awarded at the district level, and candidates who get a majority in any of the state's 27 congressional districts receive all three of that district's delegates.

The real estate mogul is trying to hoover up as many delegates as possible to reach the magic 1,237 number needed to clinch the GOP nomination outright.

The telephone poll, which was conducted April 10-13, included 313 likely Republican primary voters in New York. The margin of error is plus or minus 5.5 percentage points.