ESPN cited multiple team sources as saying that James, who endorsed Trump's rival Hillary Clinton during last month's election, would not stay with other team members at the Trump SoHo hotel in Manhattan for this week's game against the Knicks.
The 46-story luxury building, which opened in 2010, is branded with Trump's name through a licensing agreement. The Cavaliers have a contract to reside at the hotel when in New York.
Last month, reports said three other NBA teams had opted to steer clear of Trump-branded hotels.
The Milwaukee Bucks, Memphis Grizzlies and Dallas Mavericks have all indicated they would stay elsewhere when traveling to New York to play the Knicks and Nets and Chicago to play the Bulls.
Several NBA players and coaches have voiced dismay at Trump's election victory.
Last month, Cavs reserve forward Richard Jefferson suggested that the team's trip to the White House to celebrate their NBA championship might be their last.
"I just look across this league. There's been other players with 'scheduling conflicts' as they like to call it -- not necessarily a political stance," Jefferson said later.
"But I could see other scheduling conflicts coming up."